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Finding the Fourth Proportional to 31,502.94, 43,474.38 and 17,356.28

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Solution

The fourth proportional to 31,502.94, 43,474.38 and 17,356.28 is: 23,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.94 : 43,474.38 = 17,356.28 : x
  2. Step 2: Convert to fraction form
    31,502.94/43,474.38 = 17,356.28/x
  3. Step 3: Cross multiply
    31,502.94x = 43,474.38 × 17,356.28
  4. Step 4: Simplify right side
    31,502.94x = 754,553,512.11
  5. Step 5: Solve for x
    x = 754,553,512.11/31,502.94
  6. Step 6: Final answer
    x = 23,951.84

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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.