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Finding the Fourth Proportional to 54,493.35, 75,201.71 and 29,965.20

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Solution

The fourth proportional to 54,493.35, 75,201.71 and 29,965.20 is: 41,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493.35 : 75,201.71 = 29,965.20 : x
  2. Step 2: Convert to fraction form
    54,493.35/75,201.71 = 29,965.20/x
  3. Step 3: Cross multiply
    54,493.35x = 75,201.71 × 29,965.20
  4. Step 4: Simplify right side
    54,493.35x = 2,253,434,280.49
  5. Step 5: Solve for x
    x = 2,253,434,280.49/54,493.35
  6. Step 6: Final answer
    x = 41,352.46

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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.