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Finding the Fourth Proportional to 32,534.28, 48,797.10 and 9,162.54

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Solution

The fourth proportional to 32,534.28, 48,797.10 and 9,162.54 is: 13,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.28 : 48,797.10 = 9,162.54 : x
  2. Step 2: Convert to fraction form
    32,534.28/48,797.10 = 9,162.54/x
  3. Step 3: Cross multiply
    32,534.28x = 48,797.10 × 9,162.54
  4. Step 4: Simplify right side
    32,534.28x = 447,105,380.63
  5. Step 5: Solve for x
    x = 447,105,380.63/32,534.28
  6. Step 6: Final answer
    x = 13,742.59

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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.