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Finding the Fourth Proportional to 71,372.64, 107,071.12 and 24,614.56

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Solution

The fourth proportional to 71,372.64, 107,071.12 and 24,614.56 is: 36,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.64 : 107,071.12 = 24,614.56 : x
  2. Step 2: Convert to fraction form
    71,372.64/107,071.12 = 24,614.56/x
  3. Step 3: Cross multiply
    71,372.64x = 107,071.12 × 24,614.56
  4. Step 4: Simplify right side
    71,372.64x = 2,635,508,507.51
  5. Step 5: Solve for x
    x = 2,635,508,507.51/71,372.64
  6. Step 6: Final answer
    x = 36,926.03

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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.