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Finding the Fourth Proportional to 52,091.76, 78,206.76 and 50,294.64

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Solution

The fourth proportional to 52,091.76, 78,206.76 and 50,294.64 is: 75,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.76 : 78,206.76 = 50,294.64 : x
  2. Step 2: Convert to fraction form
    52,091.76/78,206.76 = 50,294.64/x
  3. Step 3: Cross multiply
    52,091.76x = 78,206.76 × 50,294.64
  4. Step 4: Simplify right side
    52,091.76x = 3,933,380,839.77
  5. Step 5: Solve for x
    x = 3,933,380,839.77/52,091.76
  6. Step 6: Final answer
    x = 75,508.70

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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.