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Finding the Fourth Proportional to 102,550.60, 153,824.88 and 32,429.92

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Solution

The fourth proportional to 102,550.60, 153,824.88 and 32,429.92 is: 48,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550.60 : 153,824.88 = 32,429.92 : x
  2. Step 2: Convert to fraction form
    102,550.60/153,824.88 = 32,429.92/x
  3. Step 3: Cross multiply
    102,550.60x = 153,824.88 × 32,429.92
  4. Step 4: Simplify right side
    102,550.60x = 4,988,528,552.41
  5. Step 5: Solve for x
    x = 4,988,528,552.41/102,550.60
  6. Step 6: Final answer
    x = 48,644.56

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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.