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Finding the Fourth Proportional to 82,016.82, 123,041.61 and 25,865.60

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Solution

The fourth proportional to 82,016.82, 123,041.61 and 25,865.60 is: 38,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.82 : 123,041.61 = 25,865.60 : x
  2. Step 2: Convert to fraction form
    82,016.82/123,041.61 = 25,865.60/x
  3. Step 3: Cross multiply
    82,016.82x = 123,041.61 × 25,865.60
  4. Step 4: Simplify right side
    82,016.82x = 3,182,544,452.41
  5. Step 5: Solve for x
    x = 3,182,544,452.41/82,016.82
  6. Step 6: Final answer
    x = 38,803.56

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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.