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Finding the Fourth Proportional to 54,974.50, 75,860.04 and 31,103.39

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Solution

The fourth proportional to 54,974.50, 75,860.04 and 31,103.39 is: 42,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974.50 : 75,860.04 = 31,103.39 : x
  2. Step 2: Convert to fraction form
    54,974.50/75,860.04 = 31,103.39/x
  3. Step 3: Cross multiply
    54,974.50x = 75,860.04 × 31,103.39
  4. Step 4: Simplify right side
    54,974.50x = 2,359,504,715.82
  5. Step 5: Solve for x
    x = 2,359,504,715.82/54,974.50
  6. Step 6: Final answer
    x = 42,919.99

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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.