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Finding the Fourth Proportional to 68,565.52, 102,741.90 and 47,546.56

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Solution

The fourth proportional to 68,565.52, 102,741.90 and 47,546.56 is: 71,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,565.52 : 102,741.90 = 47,546.56 : x
  2. Step 2: Convert to fraction form
    68,565.52/102,741.90 = 47,546.56/x
  3. Step 3: Cross multiply
    68,565.52x = 102,741.90 × 47,546.56
  4. Step 4: Simplify right side
    68,565.52x = 4,885,023,912.86
  5. Step 5: Solve for x
    x = 4,885,023,912.86/68,565.52
  6. Step 6: Final answer
    x = 71,246.07

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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.