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Finding the Fourth Proportional to 80,724, 111,399.24 and 45,396

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Solution

The fourth proportional to 80,724, 111,399.24 and 45,396 is: 62,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,724 : 111,399.24 = 45,396 : x
  2. Step 2: Convert to fraction form
    80,724/111,399.24 = 45,396/x
  3. Step 3: Cross multiply
    80,724x = 111,399.24 × 45,396
  4. Step 4: Simplify right side
    80,724x = 5,057,079,899.04
  5. Step 5: Solve for x
    x = 5,057,079,899.04/80,724
  6. Step 6: Final answer
    x = 62,646.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.