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Finding the Fourth Proportional to 57,070.50, 85,605.78 and 15,517.50

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Solution

The fourth proportional to 57,070.50, 85,605.78 and 15,517.50 is: 23,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,070.50 : 85,605.78 = 15,517.50 : x
  2. Step 2: Convert to fraction form
    57,070.50/85,605.78 = 15,517.50/x
  3. Step 3: Cross multiply
    57,070.50x = 85,605.78 × 15,517.50
  4. Step 4: Simplify right side
    57,070.50x = 1,328,387,691.15
  5. Step 5: Solve for x
    x = 1,328,387,691.15/57,070.50
  6. Step 6: Final answer
    x = 23,276.26

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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.