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Finding the Fourth Proportional to 54,154.38, 74,732.49 and 30,280.44

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Solution

The fourth proportional to 54,154.38, 74,732.49 and 30,280.44 is: 41,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,154.38 : 74,732.49 = 30,280.44 : x
  2. Step 2: Convert to fraction form
    54,154.38/74,732.49 = 30,280.44/x
  3. Step 3: Cross multiply
    54,154.38x = 74,732.49 × 30,280.44
  4. Step 4: Simplify right side
    54,154.38x = 2,262,932,679.50
  5. Step 5: Solve for x
    x = 2,262,932,679.50/54,154.38
  6. Step 6: Final answer
    x = 41,786.70

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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.