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Finding the Fourth Proportional to 31,763.52, 43,834.56 and 17,424

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Solution

The fourth proportional to 31,763.52, 43,834.56 and 17,424 is: 24,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.52 : 43,834.56 = 17,424 : x
  2. Step 2: Convert to fraction form
    31,763.52/43,834.56 = 17,424/x
  3. Step 3: Cross multiply
    31,763.52x = 43,834.56 × 17,424
  4. Step 4: Simplify right side
    31,763.52x = 763,773,373.44
  5. Step 5: Solve for x
    x = 763,773,373.44/31,763.52
  6. Step 6: Final answer
    x = 24,045.62

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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.