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Finding the Fourth Proportional to 92,121.60, 137,960.97 and 52,558.77

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Solution

The fourth proportional to 92,121.60, 137,960.97 and 52,558.77 is: 78,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,121.60 : 137,960.97 = 52,558.77 : x
  2. Step 2: Convert to fraction form
    92,121.60/137,960.97 = 52,558.77/x
  3. Step 3: Cross multiply
    92,121.60x = 137,960.97 × 52,558.77
  4. Step 4: Simplify right side
    92,121.60x = 7,251,059,211.47
  5. Step 5: Solve for x
    x = 7,251,059,211.47/92,121.60
  6. Step 6: Final answer
    x = 78,711.82

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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.