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Finding the Fourth Proportional to 31,680.66, 43,717.50 and 17,532.66

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Solution

The fourth proportional to 31,680.66, 43,717.50 and 17,532.66 is: 24,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680.66 : 43,717.50 = 17,532.66 : x
  2. Step 2: Convert to fraction form
    31,680.66/43,717.50 = 17,532.66/x
  3. Step 3: Cross multiply
    31,680.66x = 43,717.50 × 17,532.66
  4. Step 4: Simplify right side
    31,680.66x = 766,484,063.55
  5. Step 5: Solve for x
    x = 766,484,063.55/31,680.66
  6. Step 6: Final answer
    x = 24,194.07

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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.