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Finding the Fourth Proportional to 82,353.74, 123,474.70 and 26,177

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Solution

The fourth proportional to 82,353.74, 123,474.70 and 26,177 is: 39,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.74 : 123,474.70 = 26,177 : x
  2. Step 2: Convert to fraction form
    82,353.74/123,474.70 = 26,177/x
  3. Step 3: Cross multiply
    82,353.74x = 123,474.70 × 26,177
  4. Step 4: Simplify right side
    82,353.74x = 3,232,197,221.90
  5. Step 5: Solve for x
    x = 3,232,197,221.90/82,353.74
  6. Step 6: Final answer
    x = 39,247.73

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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.