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Finding the Fourth Proportional to 31,251.48, 43,121.88 and 17,823

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Solution

The fourth proportional to 31,251.48, 43,121.88 and 17,823 is: 24,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251.48 : 43,121.88 = 17,823 : x
  2. Step 2: Convert to fraction form
    31,251.48/43,121.88 = 17,823/x
  3. Step 3: Cross multiply
    31,251.48x = 43,121.88 × 17,823
  4. Step 4: Simplify right side
    31,251.48x = 768,561,267.24
  5. Step 5: Solve for x
    x = 768,561,267.24/31,251.48
  6. Step 6: Final answer
    x = 24,592.80

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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.