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Finding the Fourth Proportional to 82,065.63, 123,098.43 and 25,945.14

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Solution

The fourth proportional to 82,065.63, 123,098.43 and 25,945.14 is: 38,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.63 : 123,098.43 = 25,945.14 : x
  2. Step 2: Convert to fraction form
    82,065.63/123,098.43 = 25,945.14/x
  3. Step 3: Cross multiply
    82,065.63x = 123,098.43 × 25,945.14
  4. Step 4: Simplify right side
    82,065.63x = 3,193,806,000.13
  5. Step 5: Solve for x
    x = 3,193,806,000.13/82,065.63
  6. Step 6: Final answer
    x = 38,917.71

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Similar ratio
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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.