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Finding the Fourth Proportional to 54,850.81, 75,694.12 and 29,700.31

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Solution

The fourth proportional to 54,850.81, 75,694.12 and 29,700.31 is: 40,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.81 : 75,694.12 = 29,700.31 : x
  2. Step 2: Convert to fraction form
    54,850.81/75,694.12 = 29,700.31/x
  3. Step 3: Cross multiply
    54,850.81x = 75,694.12 × 29,700.31
  4. Step 4: Simplify right side
    54,850.81x = 2,248,138,829.18
  5. Step 5: Solve for x
    x = 2,248,138,829.18/54,850.81
  6. Step 6: Final answer
    x = 40,986.43

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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.