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Finding the Fourth Proportional to 54,694.75, 75,478.82 and 29,544.25

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Solution

The fourth proportional to 54,694.75, 75,478.82 and 29,544.25 is: 40,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.75 : 75,478.82 = 29,544.25 : x
  2. Step 2: Convert to fraction form
    54,694.75/75,478.82 = 29,544.25/x
  3. Step 3: Cross multiply
    54,694.75x = 75,478.82 × 29,544.25
  4. Step 4: Simplify right side
    54,694.75x = 2,229,965,127.79
  5. Step 5: Solve for x
    x = 2,229,965,127.79/54,694.75
  6. Step 6: Final answer
    x = 40,771.10

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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.