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Finding the Fourth Proportional to 87,375, 131,090.34 and 31,214.04

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Solution

The fourth proportional to 87,375, 131,090.34 and 31,214.04 is: 46,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,375 : 131,090.34 = 31,214.04 : x
  2. Step 2: Convert to fraction form
    87,375/131,090.34 = 31,214.04/x
  3. Step 3: Cross multiply
    87,375x = 131,090.34 × 31,214.04
  4. Step 4: Simplify right side
    87,375x = 4,091,859,116.37
  5. Step 5: Solve for x
    x = 4,091,859,116.37/87,375
  6. Step 6: Final answer
    x = 46,831.01

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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.