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Finding the Fourth Proportional to 83,301.60, 124,952.40 and 24,139.20

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Solution

The fourth proportional to 83,301.60, 124,952.40 and 24,139.20 is: 36,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,301.60 : 124,952.40 = 24,139.20 : x
  2. Step 2: Convert to fraction form
    83,301.60/124,952.40 = 24,139.20/x
  3. Step 3: Cross multiply
    83,301.60x = 124,952.40 × 24,139.20
  4. Step 4: Simplify right side
    83,301.60x = 3,016,250,974.08
  5. Step 5: Solve for x
    x = 3,016,250,974.08/83,301.60
  6. Step 6: Final answer
    x = 36,208.80

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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.