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Finding the Fourth Proportional to 78,761.60, 118,149.60 and 32,004.80

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Solution

The fourth proportional to 78,761.60, 118,149.60 and 32,004.80 is: 48,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,761.60 : 118,149.60 = 32,004.80 : x
  2. Step 2: Convert to fraction form
    78,761.60/118,149.60 = 32,004.80/x
  3. Step 3: Cross multiply
    78,761.60x = 118,149.60 × 32,004.80
  4. Step 4: Simplify right side
    78,761.60x = 3,781,354,318.08
  5. Step 5: Solve for x
    x = 3,781,354,318.08/78,761.60
  6. Step 6: Final answer
    x = 48,010.13

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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.