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Finding the Fourth Proportional to 83,540.88, 125,314.76 and 27,384.16

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Solution

The fourth proportional to 83,540.88, 125,314.76 and 27,384.16 is: 41,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.88 : 125,314.76 = 27,384.16 : x
  2. Step 2: Convert to fraction form
    83,540.88/125,314.76 = 27,384.16/x
  3. Step 3: Cross multiply
    83,540.88x = 125,314.76 × 27,384.16
  4. Step 4: Simplify right side
    83,540.88x = 3,431,639,438.20
  5. Step 5: Solve for x
    x = 3,431,639,438.20/83,540.88
  6. Step 6: Final answer
    x = 41,077.37

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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.