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Finding the Fourth Proportional to 97,092.46, 145,695.30 and 40,929.13

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Solution

The fourth proportional to 97,092.46, 145,695.30 and 40,929.13 is: 61,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092.46 : 145,695.30 = 40,929.13 : x
  2. Step 2: Convert to fraction form
    97,092.46/145,695.30 = 40,929.13/x
  3. Step 3: Cross multiply
    97,092.46x = 145,695.30 × 40,929.13
  4. Step 4: Simplify right side
    97,092.46x = 5,963,181,874.09
  5. Step 5: Solve for x
    x = 5,963,181,874.09/97,092.46
  6. Step 6: Final answer
    x = 61,417.56

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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.