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Finding the Fourth Proportional to 31,934.48, 44,069 and 17,787.02

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Solution

The fourth proportional to 31,934.48, 44,069 and 17,787.02 is: 24,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,934.48 : 44,069 = 17,787.02 : x
  2. Step 2: Convert to fraction form
    31,934.48/44,069 = 17,787.02/x
  3. Step 3: Cross multiply
    31,934.48x = 44,069 × 17,787.02
  4. Step 4: Simplify right side
    31,934.48x = 783,856,184.38
  5. Step 5: Solve for x
    x = 783,856,184.38/31,934.48
  6. Step 6: Final answer
    x = 24,545.76

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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.