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Finding the Fourth Proportional to 87,214.50, 130,841.25 and 31,810.50

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Solution

The fourth proportional to 87,214.50, 130,841.25 and 31,810.50 is: 47,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,214.50 : 130,841.25 = 31,810.50 : x
  2. Step 2: Convert to fraction form
    87,214.50/130,841.25 = 31,810.50/x
  3. Step 3: Cross multiply
    87,214.50x = 130,841.25 × 31,810.50
  4. Step 4: Simplify right side
    87,214.50x = 4,162,125,583.13
  5. Step 5: Solve for x
    x = 4,162,125,583.13/87,214.50
  6. Step 6: Final answer
    x = 47,722.86

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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.