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Finding the Fourth Proportional to 31,778.42, 43,854.23 and 17,631.23

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Solution

The fourth proportional to 31,778.42, 43,854.23 and 17,631.23 is: 24,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.42 : 43,854.23 = 17,631.23 : x
  2. Step 2: Convert to fraction form
    31,778.42/43,854.23 = 17,631.23/x
  3. Step 3: Cross multiply
    31,778.42x = 43,854.23 × 17,631.23
  4. Step 4: Simplify right side
    31,778.42x = 773,203,927.45
  5. Step 5: Solve for x
    x = 773,203,927.45/31,778.42
  6. Step 6: Final answer
    x = 24,331.10

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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.