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Finding the Fourth Proportional to 31,677.66, 43,713 and 17,531.02

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Solution

The fourth proportional to 31,677.66, 43,713 and 17,531.02 is: 24,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.66 : 43,713 = 17,531.02 : x
  2. Step 2: Convert to fraction form
    31,677.66/43,713 = 17,531.02/x
  3. Step 3: Cross multiply
    31,677.66x = 43,713 × 17,531.02
  4. Step 4: Simplify right side
    31,677.66x = 766,333,477.26
  5. Step 5: Solve for x
    x = 766,333,477.26/31,677.66
  6. Step 6: Final answer
    x = 24,191.61

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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.