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Finding the Fourth Proportional to 31,527.78, 43,506.16 and 17,732.18

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Solution

The fourth proportional to 31,527.78, 43,506.16 and 17,732.18 is: 24,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.78 : 43,506.16 = 17,732.18 : x
  2. Step 2: Convert to fraction form
    31,527.78/43,506.16 = 17,732.18/x
  3. Step 3: Cross multiply
    31,527.78x = 43,506.16 × 17,732.18
  4. Step 4: Simplify right side
    31,527.78x = 771,458,754.04
  5. Step 5: Solve for x
    x = 771,458,754.04/31,527.78
  6. Step 6: Final answer
    x = 24,469.17

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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.