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Finding the Fourth Proportional to 87,171.50, 130,776.69 and 31,767.50

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Solution

The fourth proportional to 87,171.50, 130,776.69 and 31,767.50 is: 47,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,171.50 : 130,776.69 = 31,767.50 : x
  2. Step 2: Convert to fraction form
    87,171.50/130,776.69 = 31,767.50/x
  3. Step 3: Cross multiply
    87,171.50x = 130,776.69 × 31,767.50
  4. Step 4: Simplify right side
    87,171.50x = 4,154,448,499.58
  5. Step 5: Solve for x
    x = 4,154,448,499.58/87,171.50
  6. Step 6: Final answer
    x = 47,658.33

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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.