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Finding the Fourth Proportional to 54,306.70, 74,939.15 and 30,428.75

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Solution

The fourth proportional to 54,306.70, 74,939.15 and 30,428.75 is: 41,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306.70 : 74,939.15 = 30,428.75 : x
  2. Step 2: Convert to fraction form
    54,306.70/74,939.15 = 30,428.75/x
  3. Step 3: Cross multiply
    54,306.70x = 74,939.15 × 30,428.75
  4. Step 4: Simplify right side
    54,306.70x = 2,280,304,695.77
  5. Step 5: Solve for x
    x = 2,280,304,695.77/54,306.70
  6. Step 6: Final answer
    x = 41,989.38

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Why These Related Problems?

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