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Finding the Fourth Proportional to 117,251.64, 175,893.85 and 38,350.14

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Solution

The fourth proportional to 117,251.64, 175,893.85 and 38,350.14 is: 57,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,251.64 : 175,893.85 = 38,350.14 : x
  2. Step 2: Convert to fraction form
    117,251.64/175,893.85 = 38,350.14/x
  3. Step 3: Cross multiply
    117,251.64x = 175,893.85 × 38,350.14
  4. Step 4: Simplify right side
    117,251.64x = 6,745,553,772.64
  5. Step 5: Solve for x
    x = 6,745,553,772.64/117,251.64
  6. Step 6: Final answer
    x = 57,530.57

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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.