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Finding the Fourth Proportional to 32,680.68, 49,016.38 and 10,491.13

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Solution

The fourth proportional to 32,680.68, 49,016.38 and 10,491.13 is: 15,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.68 : 49,016.38 = 10,491.13 : x
  2. Step 2: Convert to fraction form
    32,680.68/49,016.38 = 10,491.13/x
  3. Step 3: Cross multiply
    32,680.68x = 49,016.38 × 10,491.13
  4. Step 4: Simplify right side
    32,680.68x = 514,237,214.71
  5. Step 5: Solve for x
    x = 514,237,214.71/32,680.68
  6. Step 6: Final answer
    x = 15,735.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.