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Finding the Fourth Proportional to 31,638.80, 43,661.53 and 17,491.65

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Solution

The fourth proportional to 31,638.80, 43,661.53 and 17,491.65 is: 24,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.80 : 43,661.53 = 17,491.65 : x
  2. Step 2: Convert to fraction form
    31,638.80/43,661.53 = 17,491.65/x
  3. Step 3: Cross multiply
    31,638.80x = 43,661.53 × 17,491.65
  4. Step 4: Simplify right side
    31,638.80x = 763,712,059.36
  5. Step 5: Solve for x
    x = 763,712,059.36/31,638.80
  6. Step 6: Final answer
    x = 24,138.46

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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.