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Finding the Fourth Proportional to 32,228.28, 48,344.75 and 13,489.47

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Solution

The fourth proportional to 32,228.28, 48,344.75 and 13,489.47 is: 20,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228.28 : 48,344.75 = 13,489.47 : x
  2. Step 2: Convert to fraction form
    32,228.28/48,344.75 = 13,489.47/x
  3. Step 3: Cross multiply
    32,228.28x = 48,344.75 × 13,489.47
  4. Step 4: Simplify right side
    32,228.28x = 652,145,037.92
  5. Step 5: Solve for x
    x = 652,145,037.92/32,228.28
  6. Step 6: Final answer
    x = 20,235.18

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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.