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Finding the Fourth Proportional to 54,278.10, 74,929.41 and 36,384.78

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Solution

The fourth proportional to 54,278.10, 74,929.41 and 36,384.78 is: 50,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,278.10 : 74,929.41 = 36,384.78 : x
  2. Step 2: Convert to fraction form
    54,278.10/74,929.41 = 36,384.78/x
  3. Step 3: Cross multiply
    54,278.10x = 74,929.41 × 36,384.78
  4. Step 4: Simplify right side
    54,278.10x = 2,726,290,098.38
  5. Step 5: Solve for x
    x = 2,726,290,098.38/54,278.10
  6. Step 6: Final answer
    x = 50,228.18

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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.