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Finding the Fourth Proportional to 82,892.64, 124,356.64 and 26,735.90

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Solution

The fourth proportional to 82,892.64, 124,356.64 and 26,735.90 is: 40,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.64 : 124,356.64 = 26,735.90 : x
  2. Step 2: Convert to fraction form
    82,892.64/124,356.64 = 26,735.90/x
  3. Step 3: Cross multiply
    82,892.64x = 124,356.64 × 26,735.90
  4. Step 4: Simplify right side
    82,892.64x = 3,324,786,691.38
  5. Step 5: Solve for x
    x = 3,324,786,691.38/82,892.64
  6. Step 6: Final answer
    x = 40,109.55

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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.