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Finding the Fourth Proportional to 54,647.91, 75,414.38 and 30,775.01

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Solution

The fourth proportional to 54,647.91, 75,414.38 and 30,775.01 is: 42,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,647.91 : 75,414.38 = 30,775.01 : x
  2. Step 2: Convert to fraction form
    54,647.91/75,414.38 = 30,775.01/x
  3. Step 3: Cross multiply
    54,647.91x = 75,414.38 × 30,775.01
  4. Step 4: Simplify right side
    54,647.91x = 2,320,877,767.70
  5. Step 5: Solve for x
    x = 2,320,877,767.70/54,647.91
  6. Step 6: Final answer
    x = 42,469.65

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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.