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Finding the Fourth Proportional to 32,603.17, 48,908.85 and 9,229.60

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Solution

The fourth proportional to 32,603.17, 48,908.85 and 9,229.60 is: 13,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.17 : 48,908.85 = 9,229.60 : x
  2. Step 2: Convert to fraction form
    32,603.17/48,908.85 = 9,229.60/x
  3. Step 3: Cross multiply
    32,603.17x = 48,908.85 × 9,229.60
  4. Step 4: Simplify right side
    32,603.17x = 451,409,121.96
  5. Step 5: Solve for x
    x = 451,409,121.96/32,603.17
  6. Step 6: Final answer
    x = 13,845.56

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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.