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Finding the Fourth Proportional to 54,487.80, 75,193.23 and 30,614.46

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Solution

The fourth proportional to 54,487.80, 75,193.23 and 30,614.46 is: 42,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,487.80 : 75,193.23 = 30,614.46 : x
  2. Step 2: Convert to fraction form
    54,487.80/75,193.23 = 30,614.46/x
  3. Step 3: Cross multiply
    54,487.80x = 75,193.23 × 30,614.46
  4. Step 4: Simplify right side
    54,487.80x = 2,302,000,132.11
  5. Step 5: Solve for x
    x = 2,302,000,132.11/54,487.80
  6. Step 6: Final answer
    x = 42,247.99

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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.