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Finding the Fourth Proportional to 75,797.34, 113,647.41 and 31,454.70

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Solution

The fourth proportional to 75,797.34, 113,647.41 and 31,454.70 is: 47,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797.34 : 113,647.41 = 31,454.70 : x
  2. Step 2: Convert to fraction form
    75,797.34/113,647.41 = 31,454.70/x
  3. Step 3: Cross multiply
    75,797.34x = 113,647.41 × 31,454.70
  4. Step 4: Simplify right side
    75,797.34x = 3,574,745,187.33
  5. Step 5: Solve for x
    x = 3,574,745,187.33/75,797.34
  6. Step 6: Final answer
    x = 47,161.88

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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.