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Finding the Fourth Proportional to 87,193.50, 130,847.70 and 47,778.30

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Solution

The fourth proportional to 87,193.50, 130,847.70 and 47,778.30 is: 71,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,193.50 : 130,847.70 = 47,778.30 : x
  2. Step 2: Convert to fraction form
    87,193.50/130,847.70 = 47,778.30/x
  3. Step 3: Cross multiply
    87,193.50x = 130,847.70 × 47,778.30
  4. Step 4: Simplify right side
    87,193.50x = 6,251,680,664.91
  5. Step 5: Solve for x
    x = 6,251,680,664.91/87,193.50
  6. Step 6: Final answer
    x = 71,698.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.