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Finding the Fourth Proportional to 38,101.68, 57,105 and 29,369.52

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Solution

The fourth proportional to 38,101.68, 57,105 and 29,369.52 is: 44,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.68 : 57,105 = 29,369.52 : x
  2. Step 2: Convert to fraction form
    38,101.68/57,105 = 29,369.52/x
  3. Step 3: Cross multiply
    38,101.68x = 57,105 × 29,369.52
  4. Step 4: Simplify right side
    38,101.68x = 1,677,146,439.60
  5. Step 5: Solve for x
    x = 1,677,146,439.60/38,101.68
  6. Step 6: Final answer
    x = 44,017.65

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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.