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Finding the Fourth Proportional to 32,195.75, 48,288.44 and 8,816.72

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Solution

The fourth proportional to 32,195.75, 48,288.44 and 8,816.72 is: 13,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.75 : 48,288.44 = 8,816.72 : x
  2. Step 2: Convert to fraction form
    32,195.75/48,288.44 = 8,816.72/x
  3. Step 3: Cross multiply
    32,195.75x = 48,288.44 × 8,816.72
  4. Step 4: Simplify right side
    32,195.75x = 425,745,369.19
  5. Step 5: Solve for x
    x = 425,745,369.19/32,195.75
  6. Step 6: Final answer
    x = 13,223.65

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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.