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Finding the Fourth Proportional to 101,874.95, 152,827.02 and 31,759.73

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Solution

The fourth proportional to 101,874.95, 152,827.02 and 31,759.73 is: 47,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874.95 : 152,827.02 = 31,759.73 : x
  2. Step 2: Convert to fraction form
    101,874.95/152,827.02 = 31,759.73/x
  3. Step 3: Cross multiply
    101,874.95x = 152,827.02 × 31,759.73
  4. Step 4: Simplify right side
    101,874.95x = 4,853,744,891.90
  5. Step 5: Solve for x
    x = 4,853,744,891.90/101,874.95
  6. Step 6: Final answer
    x = 47,644.15

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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.