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Finding the Fourth Proportional to 50,549.43, 75,824.45 and 22,462.88

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Solution

The fourth proportional to 50,549.43, 75,824.45 and 22,462.88 is: 33,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.43 : 75,824.45 = 22,462.88 : x
  2. Step 2: Convert to fraction form
    50,549.43/75,824.45 = 22,462.88/x
  3. Step 3: Cross multiply
    50,549.43x = 75,824.45 × 22,462.88
  4. Step 4: Simplify right side
    50,549.43x = 1,703,235,409.10
  5. Step 5: Solve for x
    x = 1,703,235,409.10/50,549.43
  6. Step 6: Final answer
    x = 33,694.45

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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.