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Finding the Fourth Proportional to 54,850.63, 82,279.13 and 15,410.82

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Solution

The fourth proportional to 54,850.63, 82,279.13 and 15,410.82 is: 23,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.63 : 82,279.13 = 15,410.82 : x
  2. Step 2: Convert to fraction form
    54,850.63/82,279.13 = 15,410.82/x
  3. Step 3: Cross multiply
    54,850.63x = 82,279.13 × 15,410.82
  4. Step 4: Simplify right side
    54,850.63x = 1,267,988,862.19
  5. Step 5: Solve for x
    x = 1,267,988,862.19/54,850.63
  6. Step 6: Final answer
    x = 23,117.12

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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.