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Finding the Fourth Proportional to 82,393.38, 113,592.90 and 65,453.85

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Solution

The fourth proportional to 82,393.38, 113,592.90 and 65,453.85 is: 90,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393.38 : 113,592.90 = 65,453.85 : x
  2. Step 2: Convert to fraction form
    82,393.38/113,592.90 = 65,453.85/x
  3. Step 3: Cross multiply
    82,393.38x = 113,592.90 × 65,453.85
  4. Step 4: Simplify right side
    82,393.38x = 7,435,092,637.67
  5. Step 5: Solve for x
    x = 7,435,092,637.67/82,393.38
  6. Step 6: Final answer
    x = 90,238.96

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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.