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Finding the Fourth Proportional to 48,007.60, 72,011.40 and 43,414.90

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Solution

The fourth proportional to 48,007.60, 72,011.40 and 43,414.90 is: 65,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,007.60 : 72,011.40 = 43,414.90 : x
  2. Step 2: Convert to fraction form
    48,007.60/72,011.40 = 43,414.90/x
  3. Step 3: Cross multiply
    48,007.60x = 72,011.40 × 43,414.90
  4. Step 4: Simplify right side
    48,007.60x = 3,126,367,729.86
  5. Step 5: Solve for x
    x = 3,126,367,729.86/48,007.60
  6. Step 6: Final answer
    x = 65,122.35

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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.