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Finding the Fourth Proportional to 31,442.73, 43,378.15 and 17,827.90

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Solution

The fourth proportional to 31,442.73, 43,378.15 and 17,827.90 is: 24,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.73 : 43,378.15 = 17,827.90 : x
  2. Step 2: Convert to fraction form
    31,442.73/43,378.15 = 17,827.90/x
  3. Step 3: Cross multiply
    31,442.73x = 43,378.15 × 17,827.90
  4. Step 4: Simplify right side
    31,442.73x = 773,341,320.39
  5. Step 5: Solve for x
    x = 773,341,320.39/31,442.73
  6. Step 6: Final answer
    x = 24,595.23

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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.