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Finding the Fourth Proportional to 48,142.44, 72,213.36 and 13,082.04

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Solution

The fourth proportional to 48,142.44, 72,213.36 and 13,082.04 is: 19,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,142.44 : 72,213.36 = 13,082.04 : x
  2. Step 2: Convert to fraction form
    48,142.44/72,213.36 = 13,082.04/x
  3. Step 3: Cross multiply
    48,142.44x = 72,213.36 × 13,082.04
  4. Step 4: Simplify right side
    48,142.44x = 944,698,064.05
  5. Step 5: Solve for x
    x = 944,698,064.05/48,142.44
  6. Step 6: Final answer
    x = 19,622.98

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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.