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Finding the Fourth Proportional to 82,402.57, 123,440.09 and 40,159.47

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Solution

The fourth proportional to 82,402.57, 123,440.09 and 40,159.47 is: 60,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,402.57 : 123,440.09 = 40,159.47 : x
  2. Step 2: Convert to fraction form
    82,402.57/123,440.09 = 40,159.47/x
  3. Step 3: Cross multiply
    82,402.57x = 123,440.09 × 40,159.47
  4. Step 4: Simplify right side
    82,402.57x = 4,957,288,675.50
  5. Step 5: Solve for x
    x = 4,957,288,675.50/82,402.57
  6. Step 6: Final answer
    x = 60,159.39

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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.