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Finding the Fourth Proportional to 31,502.44, 43,471.65 and 17,354.17

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Solution

The fourth proportional to 31,502.44, 43,471.65 and 17,354.17 is: 23,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.44 : 43,471.65 = 17,354.17 : x
  2. Step 2: Convert to fraction form
    31,502.44/43,471.65 = 17,354.17/x
  3. Step 3: Cross multiply
    31,502.44x = 43,471.65 × 17,354.17
  4. Step 4: Simplify right side
    31,502.44x = 754,414,404.28
  5. Step 5: Solve for x
    x = 754,414,404.28/31,502.44
  6. Step 6: Final answer
    x = 23,947.81

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1.5x scale

Why These Related Problems?

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