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Finding the Fourth Proportional to 95,122.33, 142,689.65 and 31,939.90

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Solution

The fourth proportional to 95,122.33, 142,689.65 and 31,939.90 is: 47,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,122.33 : 142,689.65 = 31,939.90 : x
  2. Step 2: Convert to fraction form
    95,122.33/142,689.65 = 31,939.90/x
  3. Step 3: Cross multiply
    95,122.33x = 142,689.65 × 31,939.90
  4. Step 4: Simplify right side
    95,122.33x = 4,557,493,152.04
  5. Step 5: Solve for x
    x = 4,557,493,152.04/95,122.33
  6. Step 6: Final answer
    x = 47,911.92

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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.