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Finding the Fourth Proportional to 75,881.61, 113,892.35 and 38,468.25

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Solution

The fourth proportional to 75,881.61, 113,892.35 and 38,468.25 is: 57,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.61 : 113,892.35 = 38,468.25 : x
  2. Step 2: Convert to fraction form
    75,881.61/113,892.35 = 38,468.25/x
  3. Step 3: Cross multiply
    75,881.61x = 113,892.35 × 38,468.25
  4. Step 4: Simplify right side
    75,881.61x = 4,381,239,200.55
  5. Step 5: Solve for x
    x = 4,381,239,200.55/75,881.61
  6. Step 6: Final answer
    x = 57,737.83

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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.