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Finding the Fourth Proportional to 54,873.29, 82,224.07 and 42,424

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Solution

The fourth proportional to 54,873.29, 82,224.07 and 42,424 is: 63,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.29 : 82,224.07 = 42,424 : x
  2. Step 2: Convert to fraction form
    54,873.29/82,224.07 = 42,424/x
  3. Step 3: Cross multiply
    54,873.29x = 82,224.07 × 42,424
  4. Step 4: Simplify right side
    54,873.29x = 3,488,273,945.68
  5. Step 5: Solve for x
    x = 3,488,273,945.68/54,873.29
  6. Step 6: Final answer
    x = 63,569.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.