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Finding the Fourth Proportional to 31,561.31, 43,554.84 and 17,414.66

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Solution

The fourth proportional to 31,561.31, 43,554.84 and 17,414.66 is: 24,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.31 : 43,554.84 = 17,414.66 : x
  2. Step 2: Convert to fraction form
    31,561.31/43,554.84 = 17,414.66/x
  3. Step 3: Cross multiply
    31,561.31x = 43,554.84 × 17,414.66
  4. Step 4: Simplify right side
    31,561.31x = 758,492,729.95
  5. Step 5: Solve for x
    x = 758,492,729.95/31,561.31
  6. Step 6: Final answer
    x = 24,032.36

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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.