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Finding the Fourth Proportional to 54,943.38, 75,821.81 and 29,792.88

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Solution

The fourth proportional to 54,943.38, 75,821.81 and 29,792.88 is: 41,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943.38 : 75,821.81 = 29,792.88 : x
  2. Step 2: Convert to fraction form
    54,943.38/75,821.81 = 29,792.88/x
  3. Step 3: Cross multiply
    54,943.38x = 75,821.81 × 29,792.88
  4. Step 4: Simplify right side
    54,943.38x = 2,258,949,937.75
  5. Step 5: Solve for x
    x = 2,258,949,937.75/54,943.38
  6. Step 6: Final answer
    x = 41,114.14

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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.