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Finding the Fourth Proportional to 87,873.18, 131,782.50 and 31,706.00

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Solution

The fourth proportional to 87,873.18, 131,782.50 and 31,706.00 is: 47,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,873.18 : 131,782.50 = 31,706.00 : x
  2. Step 2: Convert to fraction form
    87,873.18/131,782.50 = 31,706.00/x
  3. Step 3: Cross multiply
    87,873.18x = 131,782.50 × 31,706.00
  4. Step 4: Simplify right side
    87,873.18x = 4,178,295,286.09
  5. Step 5: Solve for x
    x = 4,178,295,286.09/87,873.18
  6. Step 6: Final answer
    x = 47,549.15

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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.