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Finding the Fourth Proportional to 82,351.74, 123,471.70 and 26,175

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Solution

The fourth proportional to 82,351.74, 123,471.70 and 26,175 is: 39,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,351.74 : 123,471.70 = 26,175 : x
  2. Step 2: Convert to fraction form
    82,351.74/123,471.70 = 26,175/x
  3. Step 3: Cross multiply
    82,351.74x = 123,471.70 × 26,175
  4. Step 4: Simplify right side
    82,351.74x = 3,231,871,747.50
  5. Step 5: Solve for x
    x = 3,231,871,747.50/82,351.74
  6. Step 6: Final answer
    x = 39,244.73

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1.5x scale

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.