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Finding the Fourth Proportional to 31,774.62, 43,854.23 and 17,632.02

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Solution

The fourth proportional to 31,774.62, 43,854.23 and 17,632.02 is: 24,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.62 : 43,854.23 = 17,632.02 : x
  2. Step 2: Convert to fraction form
    31,774.62/43,854.23 = 17,632.02/x
  3. Step 3: Cross multiply
    31,774.62x = 43,854.23 × 17,632.02
  4. Step 4: Simplify right side
    31,774.62x = 773,238,660.44
  5. Step 5: Solve for x
    x = 773,238,660.44/31,774.62
  6. Step 6: Final answer
    x = 24,335.10

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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.