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Finding the Fourth Proportional to 100,472,845.60, 150,751,258.80 and 32,336,423.20

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Solution

The fourth proportional to 100,472,845.60, 150,751,258.80 and 32,336,423.20 is: 48,518,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472,845.60 : 150,751,258.80 = 32,336,423.20 : x
  2. Step 2: Convert to fraction form
    100,472,845.60/150,751,258.80 = 32,336,423.20/x
  3. Step 3: Cross multiply
    100,472,845.60x = 150,751,258.80 × 32,336,423.20
  4. Step 4: Simplify right side
    100,472,845.60x = 4,874,756,502,489,524
  5. Step 5: Solve for x
    x = 4,874,756,502,489,524/100,472,845.60
  6. Step 6: Final answer
    x = 48,518,149.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.