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Finding the Fourth Proportional to 31,027.93, 42,816.73 and 17,414.71

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Solution

The fourth proportional to 31,027.93, 42,816.73 and 17,414.71 is: 24,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.93 : 42,816.73 = 17,414.71 : x
  2. Step 2: Convert to fraction form
    31,027.93/42,816.73 = 17,414.71/x
  3. Step 3: Cross multiply
    31,027.93x = 42,816.73 × 17,414.71
  4. Step 4: Simplify right side
    31,027.93x = 745,640,850.82
  5. Step 5: Solve for x
    x = 745,640,850.82/31,027.93
  6. Step 6: Final answer
    x = 24,031.28

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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.