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Finding the Fourth Proportional to 32,605.74, 48,917.12 and 9,232.18

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Solution

The fourth proportional to 32,605.74, 48,917.12 and 9,232.18 is: 13,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.74 : 48,917.12 = 9,232.18 : x
  2. Step 2: Convert to fraction form
    32,605.74/48,917.12 = 9,232.18/x
  3. Step 3: Cross multiply
    32,605.74x = 48,917.12 × 9,232.18
  4. Step 4: Simplify right side
    32,605.74x = 451,611,488.47
  5. Step 5: Solve for x
    x = 451,611,488.47/32,605.74
  6. Step 6: Final answer
    x = 13,850.67

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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.