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Finding the Fourth Proportional to 31,512.96, 43,358.88 and 25,142.88

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Solution

The fourth proportional to 31,512.96, 43,358.88 and 25,142.88 is: 34,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.96 : 43,358.88 = 25,142.88 : x
  2. Step 2: Convert to fraction form
    31,512.96/43,358.88 = 25,142.88/x
  3. Step 3: Cross multiply
    31,512.96x = 43,358.88 × 25,142.88
  4. Step 4: Simplify right side
    31,512.96x = 1,090,167,116.77
  5. Step 5: Solve for x
    x = 1,090,167,116.77/31,512.96
  6. Step 6: Final answer
    x = 34,594.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.