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Finding the Fourth Proportional to 92,039.60, 137,962.20 and 52,511.60

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Solution

The fourth proportional to 92,039.60, 137,962.20 and 52,511.60 is: 78,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,039.60 : 137,962.20 = 52,511.60 : x
  2. Step 2: Convert to fraction form
    92,039.60/137,962.20 = 52,511.60/x
  3. Step 3: Cross multiply
    92,039.60x = 137,962.20 × 52,511.60
  4. Step 4: Simplify right side
    92,039.60x = 7,244,615,861.52
  5. Step 5: Solve for x
    x = 7,244,615,861.52/92,039.60
  6. Step 6: Final answer
    x = 78,711.94

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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.