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Finding the Fourth Proportional to 82,165.82, 123,248.74 and 26,761.82

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Solution

The fourth proportional to 82,165.82, 123,248.74 and 26,761.82 is: 40,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165.82 : 123,248.74 = 26,761.82 : x
  2. Step 2: Convert to fraction form
    82,165.82/123,248.74 = 26,761.82/x
  3. Step 3: Cross multiply
    82,165.82x = 123,248.74 × 26,761.82
  4. Step 4: Simplify right side
    82,165.82x = 3,298,360,595.11
  5. Step 5: Solve for x
    x = 3,298,360,595.11/82,165.82
  6. Step 6: Final answer
    x = 40,142.73

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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.