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Finding the Fourth Proportional to 54,874, 75,743.40 and 35,002

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Solution

The fourth proportional to 54,874, 75,743.40 and 35,002 is: 48,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874 : 75,743.40 = 35,002 : x
  2. Step 2: Convert to fraction form
    54,874/75,743.40 = 35,002/x
  3. Step 3: Cross multiply
    54,874x = 75,743.40 × 35,002
  4. Step 4: Simplify right side
    54,874x = 2,651,170,486.80
  5. Step 5: Solve for x
    x = 2,651,170,486.80/54,874
  6. Step 6: Final answer
    x = 48,313.78

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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.