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Finding the Fourth Proportional to 29,343.13, 40,493.54 and 15,914.38

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Solution

The fourth proportional to 29,343.13, 40,493.54 and 15,914.38 is: 21,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343.13 : 40,493.54 = 15,914.38 : x
  2. Step 2: Convert to fraction form
    29,343.13/40,493.54 = 15,914.38/x
  3. Step 3: Cross multiply
    29,343.13x = 40,493.54 × 15,914.38
  4. Step 4: Simplify right side
    29,343.13x = 644,429,402.30
  5. Step 5: Solve for x
    x = 644,429,402.30/29,343.13
  6. Step 6: Final answer
    x = 21,961.85

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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.