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Finding the Fourth Proportional to 75,614.72, 113,492.14 and 38,201.16

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Solution

The fourth proportional to 75,614.72, 113,492.14 and 38,201.16 is: 57,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,614.72 : 113,492.14 = 38,201.16 : x
  2. Step 2: Convert to fraction form
    75,614.72/113,492.14 = 38,201.16/x
  3. Step 3: Cross multiply
    75,614.72x = 113,492.14 × 38,201.16
  4. Step 4: Simplify right side
    75,614.72x = 4,335,531,398.88
  5. Step 5: Solve for x
    x = 4,335,531,398.88/75,614.72
  6. Step 6: Final answer
    x = 57,337.13

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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.