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Finding the Fourth Proportional to 75,758.56, 113,676.80 and 58,102.65

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Solution

The fourth proportional to 75,758.56, 113,676.80 and 58,102.65 is: 87,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,758.56 : 113,676.80 = 58,102.65 : x
  2. Step 2: Convert to fraction form
    75,758.56/113,676.80 = 58,102.65/x
  3. Step 3: Cross multiply
    75,758.56x = 113,676.80 × 58,102.65
  4. Step 4: Simplify right side
    75,758.56x = 6,604,923,033.01
  5. Step 5: Solve for x
    x = 6,604,923,033.01/75,758.56
  6. Step 6: Final answer
    x = 87,183.85

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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.