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Finding the Fourth Proportional to 75,604.53, 113,425.48 and 31,243.97

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Solution

The fourth proportional to 75,604.53, 113,425.48 and 31,243.97 is: 46,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,604.53 : 113,425.48 = 31,243.97 : x
  2. Step 2: Convert to fraction form
    75,604.53/113,425.48 = 31,243.97/x
  3. Step 3: Cross multiply
    75,604.53x = 113,425.48 × 31,243.97
  4. Step 4: Simplify right side
    75,604.53x = 3,543,862,616.97
  5. Step 5: Solve for x
    x = 3,543,862,616.97/75,604.53
  6. Step 6: Final answer
    x = 46,873.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.