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Finding the Fourth Proportional to 57,963.96, 86,945.97 and 31,654.32

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Solution

The fourth proportional to 57,963.96, 86,945.97 and 31,654.32 is: 47,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963.96 : 86,945.97 = 31,654.32 : x
  2. Step 2: Convert to fraction form
    57,963.96/86,945.97 = 31,654.32/x
  3. Step 3: Cross multiply
    57,963.96x = 86,945.97 × 31,654.32
  4. Step 4: Simplify right side
    57,963.96x = 2,752,215,557.09
  5. Step 5: Solve for x
    x = 2,752,215,557.09/57,963.96
  6. Step 6: Final answer
    x = 47,481.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.