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Finding the Fourth Proportional to 31,794.52, 43,876.92 and 17,648.68

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Solution

The fourth proportional to 31,794.52, 43,876.92 and 17,648.68 is: 24,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.52 : 43,876.92 = 17,648.68 : x
  2. Step 2: Convert to fraction form
    31,794.52/43,876.92 = 17,648.68/x
  3. Step 3: Cross multiply
    31,794.52x = 43,876.92 × 17,648.68
  4. Step 4: Simplify right side
    31,794.52x = 774,369,720.47
  5. Step 5: Solve for x
    x = 774,369,720.47/31,794.52
  6. Step 6: Final answer
    x = 24,355.45

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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.