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Finding the Fourth Proportional to 54,884.80, 75,741 and 29,734.30

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Solution

The fourth proportional to 54,884.80, 75,741 and 29,734.30 is: 41,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,884.80 : 75,741 = 29,734.30 : x
  2. Step 2: Convert to fraction form
    54,884.80/75,741 = 29,734.30/x
  3. Step 3: Cross multiply
    54,884.80x = 75,741 × 29,734.30
  4. Step 4: Simplify right side
    54,884.80x = 2,252,105,616.30
  5. Step 5: Solve for x
    x = 2,252,105,616.30/54,884.80
  6. Step 6: Final answer
    x = 41,033.32

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1.5x scale

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.