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Finding the Fourth Proportional to 29,375.38, 40,538.12 and 15,946.65

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Solution

The fourth proportional to 29,375.38, 40,538.12 and 15,946.65 is: 22,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,375.38 : 40,538.12 = 15,946.65 : x
  2. Step 2: Convert to fraction form
    29,375.38/40,538.12 = 15,946.65/x
  3. Step 3: Cross multiply
    29,375.38x = 40,538.12 × 15,946.65
  4. Step 4: Simplify right side
    29,375.38x = 646,447,069.25
  5. Step 5: Solve for x
    x = 646,447,069.25/29,375.38
  6. Step 6: Final answer
    x = 22,006.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.