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Finding the Fourth Proportional to 95,838.38, 132,257.16 and 53,398.42

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Solution

The fourth proportional to 95,838.38, 132,257.16 and 53,398.42 is: 73,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,838.38 : 132,257.16 = 53,398.42 : x
  2. Step 2: Convert to fraction form
    95,838.38/132,257.16 = 53,398.42/x
  3. Step 3: Cross multiply
    95,838.38x = 132,257.16 × 53,398.42
  4. Step 4: Simplify right side
    95,838.38x = 7,062,323,377.69
  5. Step 5: Solve for x
    x = 7,062,323,377.69/95,838.38
  6. Step 6: Final answer
    x = 73,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.