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Finding the Fourth Proportional to 50,391.68, 69,536.28 and 29,691.90

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Solution

The fourth proportional to 50,391.68, 69,536.28 and 29,691.90 is: 40,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,391.68 : 69,536.28 = 29,691.90 : x
  2. Step 2: Convert to fraction form
    50,391.68/69,536.28 = 29,691.90/x
  3. Step 3: Cross multiply
    50,391.68x = 69,536.28 × 29,691.90
  4. Step 4: Simplify right side
    50,391.68x = 2,064,664,365.07
  5. Step 5: Solve for x
    x = 2,064,664,365.07/50,391.68
  6. Step 6: Final answer
    x = 40,972.32

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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.