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Finding the Fourth Proportional to 54,942.52, 75,821.13 and 29,792.02

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Solution

The fourth proportional to 54,942.52, 75,821.13 and 29,792.02 is: 41,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942.52 : 75,821.13 = 29,792.02 : x
  2. Step 2: Convert to fraction form
    54,942.52/75,821.13 = 29,792.02/x
  3. Step 3: Cross multiply
    54,942.52x = 75,821.13 × 29,792.02
  4. Step 4: Simplify right side
    54,942.52x = 2,258,864,621.38
  5. Step 5: Solve for x
    x = 2,258,864,621.38/54,942.52
  6. Step 6: Final answer
    x = 41,113.23

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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.