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Finding the Fourth Proportional to 87,256.96, 130,872.48 and 31,840

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Solution

The fourth proportional to 87,256.96, 130,872.48 and 31,840 is: 47,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,256.96 : 130,872.48 = 31,840 : x
  2. Step 2: Convert to fraction form
    87,256.96/130,872.48 = 31,840/x
  3. Step 3: Cross multiply
    87,256.96x = 130,872.48 × 31,840
  4. Step 4: Simplify right side
    87,256.96x = 4,166,979,763.20
  5. Step 5: Solve for x
    x = 4,166,979,763.20/87,256.96
  6. Step 6: Final answer
    x = 47,755.27

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