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Finding the Fourth Proportional to 83,702.76, 125,554.14 and 52,559.88

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Solution

The fourth proportional to 83,702.76, 125,554.14 and 52,559.88 is: 78,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702.76 : 125,554.14 = 52,559.88 : x
  2. Step 2: Convert to fraction form
    83,702.76/125,554.14 = 52,559.88/x
  3. Step 3: Cross multiply
    83,702.76x = 125,554.14 × 52,559.88
  4. Step 4: Simplify right side
    83,702.76x = 6,599,110,531.90
  5. Step 5: Solve for x
    x = 6,599,110,531.90/83,702.76
  6. Step 6: Final answer
    x = 78,839.82

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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.