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Finding the Fourth Proportional to 31,774.88, 43,854.56 and 17,632.28

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Solution

The fourth proportional to 31,774.88, 43,854.56 and 17,632.28 is: 24,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.88 : 43,854.56 = 17,632.28 : x
  2. Step 2: Convert to fraction form
    31,774.88/43,854.56 = 17,632.28/x
  3. Step 3: Cross multiply
    31,774.88x = 43,854.56 × 17,632.28
  4. Step 4: Simplify right side
    31,774.88x = 773,255,793.04
  5. Step 5: Solve for x
    x = 773,255,793.04/31,774.88
  6. Step 6: Final answer
    x = 24,335.44

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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.