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Finding the Fourth Proportional to 32,094.38, 48,144 and 8,721.02

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Solution

The fourth proportional to 32,094.38, 48,144 and 8,721.02 is: 13,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.38 : 48,144 = 8,721.02 : x
  2. Step 2: Convert to fraction form
    32,094.38/48,144 = 8,721.02/x
  3. Step 3: Cross multiply
    32,094.38x = 48,144 × 8,721.02
  4. Step 4: Simplify right side
    32,094.38x = 419,864,786.88
  5. Step 5: Solve for x
    x = 419,864,786.88/32,094.38
  6. Step 6: Final answer
    x = 13,082.19

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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.