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Finding the Fourth Proportional to 83,767.68, 125,605.44 and 36,965.76

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Solution

The fourth proportional to 83,767.68, 125,605.44 and 36,965.76 is: 55,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,767.68 : 125,605.44 = 36,965.76 : x
  2. Step 2: Convert to fraction form
    83,767.68/125,605.44 = 36,965.76/x
  3. Step 3: Cross multiply
    83,767.68x = 125,605.44 × 36,965.76
  4. Step 4: Simplify right side
    83,767.68x = 4,643,100,549.73
  5. Step 5: Solve for x
    x = 4,643,100,549.73/83,767.68
  6. Step 6: Final answer
    x = 55,428.31

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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.