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Finding the Fourth Proportional to 82,407.97, 123,614.99 and 23,245.22

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Solution

The fourth proportional to 82,407.97, 123,614.99 and 23,245.22 is: 34,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.97 : 123,614.99 = 23,245.22 : x
  2. Step 2: Convert to fraction form
    82,407.97/123,614.99 = 23,245.22/x
  3. Step 3: Cross multiply
    82,407.97x = 123,614.99 × 23,245.22
  4. Step 4: Simplify right side
    82,407.97x = 2,873,457,637.85
  5. Step 5: Solve for x
    x = 2,873,457,637.85/82,407.97
  6. Step 6: Final answer
    x = 34,868.69

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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.