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Finding the Fourth Proportional to 32,016.56, 48,049.34 and 14,498.69

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Solution

The fourth proportional to 32,016.56, 48,049.34 and 14,498.69 is: 21,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.56 : 48,049.34 = 14,498.69 : x
  2. Step 2: Convert to fraction form
    32,016.56/48,049.34 = 14,498.69/x
  3. Step 3: Cross multiply
    32,016.56x = 48,049.34 × 14,498.69
  4. Step 4: Simplify right side
    32,016.56x = 696,652,172.62
  5. Step 5: Solve for x
    x = 696,652,172.62/32,016.56
  6. Step 6: Final answer
    x = 21,759.12

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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.