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Finding the Fourth Proportional to 83,732.88, 125,599.20 and 52,590

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Solution

The fourth proportional to 83,732.88, 125,599.20 and 52,590 is: 78,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.88 : 125,599.20 = 52,590 : x
  2. Step 2: Convert to fraction form
    83,732.88/125,599.20 = 52,590/x
  3. Step 3: Cross multiply
    83,732.88x = 125,599.20 × 52,590
  4. Step 4: Simplify right side
    83,732.88x = 6,605,261,928
  5. Step 5: Solve for x
    x = 6,605,261,928/83,732.88
  6. Step 6: Final answer
    x = 78,884.92

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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.