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Finding the Fourth Proportional to 87,705.38, 131,525.41 and 31,530.16

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Solution

The fourth proportional to 87,705.38, 131,525.41 and 31,530.16 is: 47,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,705.38 : 131,525.41 = 31,530.16 : x
  2. Step 2: Convert to fraction form
    87,705.38/131,525.41 = 31,530.16/x
  3. Step 3: Cross multiply
    87,705.38x = 131,525.41 × 31,530.16
  4. Step 4: Simplify right side
    87,705.38x = 4,147,016,563.74
  5. Step 5: Solve for x
    x = 4,147,016,563.74/87,705.38
  6. Step 6: Final answer
    x = 47,283.49

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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.