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Finding the Fourth Proportional to 31,282.17, 43,157.39 and 17,854.17

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Solution

The fourth proportional to 31,282.17, 43,157.39 and 17,854.17 is: 24,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.17 : 43,157.39 = 17,854.17 : x
  2. Step 2: Convert to fraction form
    31,282.17/43,157.39 = 17,854.17/x
  3. Step 3: Cross multiply
    31,282.17x = 43,157.39 × 17,854.17
  4. Step 4: Simplify right side
    31,282.17x = 770,539,288.55
  5. Step 5: Solve for x
    x = 770,539,288.55/31,282.17
  6. Step 6: Final answer
    x = 24,631.90

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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.