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Finding the Fourth Proportional to 75,876.66, 113,884.89 and 38,462.89

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Solution

The fourth proportional to 75,876.66, 113,884.89 and 38,462.89 is: 57,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.66 : 113,884.89 = 38,462.89 : x
  2. Step 2: Convert to fraction form
    75,876.66/113,884.89 = 38,462.89/x
  3. Step 3: Cross multiply
    75,876.66x = 113,884.89 × 38,462.89
  4. Step 4: Simplify right side
    75,876.66x = 4,380,342,585.24
  5. Step 5: Solve for x
    x = 4,380,342,585.24/75,876.66
  6. Step 6: Final answer
    x = 57,729.78

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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.