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Finding the Fourth Proportional to 31,757.67, 43,825.50 and 17,417.57

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Solution

The fourth proportional to 31,757.67, 43,825.50 and 17,417.57 is: 24,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.67 : 43,825.50 = 17,417.57 : x
  2. Step 2: Convert to fraction form
    31,757.67/43,825.50 = 17,417.57/x
  3. Step 3: Cross multiply
    31,757.67x = 43,825.50 × 17,417.57
  4. Step 4: Simplify right side
    31,757.67x = 763,333,494.91
  5. Step 5: Solve for x
    x = 763,333,494.91/31,757.67
  6. Step 6: Final answer
    x = 24,036.19

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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.