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Finding the Fourth Proportional to 31,382, 43,304.36 and 17,951.04

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Solution

The fourth proportional to 31,382, 43,304.36 and 17,951.04 is: 24,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382 : 43,304.36 = 17,951.04 : x
  2. Step 2: Convert to fraction form
    31,382/43,304.36 = 17,951.04/x
  3. Step 3: Cross multiply
    31,382x = 43,304.36 × 17,951.04
  4. Step 4: Simplify right side
    31,382x = 777,358,298.53
  5. Step 5: Solve for x
    x = 777,358,298.53/31,382
  6. Step 6: Final answer
    x = 24,770.83

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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.