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Finding the Fourth Proportional to 54,649.40, 75,418.98 and 33,422

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Solution

The fourth proportional to 54,649.40, 75,418.98 and 33,422 is: 46,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,649.40 : 75,418.98 = 33,422 : x
  2. Step 2: Convert to fraction form
    54,649.40/75,418.98 = 33,422/x
  3. Step 3: Cross multiply
    54,649.40x = 75,418.98 × 33,422
  4. Step 4: Simplify right side
    54,649.40x = 2,520,653,149.56
  5. Step 5: Solve for x
    x = 2,520,653,149.56/54,649.40
  6. Step 6: Final answer
    x = 46,124.08

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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.