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Finding the Fourth Proportional to 54,216.49, 74,819.13 and 30,345.38

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Solution

The fourth proportional to 54,216.49, 74,819.13 and 30,345.38 is: 41,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,216.49 : 74,819.13 = 30,345.38 : x
  2. Step 2: Convert to fraction form
    54,216.49/74,819.13 = 30,345.38/x
  3. Step 3: Cross multiply
    54,216.49x = 74,819.13 × 30,345.38
  4. Step 4: Simplify right side
    54,216.49x = 2,270,414,931.12
  5. Step 5: Solve for x
    x = 2,270,414,931.12/54,216.49
  6. Step 6: Final answer
    x = 41,876.83

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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.