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Finding the Fourth Proportional to 125,282.97, 187,952.10 and 36,543.42

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Solution

The fourth proportional to 125,282.97, 187,952.10 and 36,543.42 is: 54,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,282.97 : 187,952.10 = 36,543.42 : x
  2. Step 2: Convert to fraction form
    125,282.97/187,952.10 = 36,543.42/x
  3. Step 3: Cross multiply
    125,282.97x = 187,952.10 × 36,543.42
  4. Step 4: Simplify right side
    125,282.97x = 6,868,412,347.46
  5. Step 5: Solve for x
    x = 6,868,412,347.46/125,282.97
  6. Step 6: Final answer
    x = 54,823.19

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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.