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Finding the Fourth Proportional to 31,642.64, 43,665.04 and 17,494.57

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Solution

The fourth proportional to 31,642.64, 43,665.04 and 17,494.57 is: 24,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.64 : 43,665.04 = 17,494.57 : x
  2. Step 2: Convert to fraction form
    31,642.64/43,665.04 = 17,494.57/x
  3. Step 3: Cross multiply
    31,642.64x = 43,665.04 × 17,494.57
  4. Step 4: Simplify right side
    31,642.64x = 763,901,098.83
  5. Step 5: Solve for x
    x = 763,901,098.83/31,642.64
  6. Step 6: Final answer
    x = 24,141.51

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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.