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Finding the Fourth Proportional to 83,287.80, 124,947.90 and 24,125.40

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Solution

The fourth proportional to 83,287.80, 124,947.90 and 24,125.40 is: 36,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.80 : 124,947.90 = 24,125.40 : x
  2. Step 2: Convert to fraction form
    83,287.80/124,947.90 = 24,125.40/x
  3. Step 3: Cross multiply
    83,287.80x = 124,947.90 × 24,125.40
  4. Step 4: Simplify right side
    83,287.80x = 3,014,418,066.66
  5. Step 5: Solve for x
    x = 3,014,418,066.66/83,287.80
  6. Step 6: Final answer
    x = 36,192.79

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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.