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Finding the Fourth Proportional to 85,902.38, 128,865.72 and 26,744.02

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Solution

The fourth proportional to 85,902.38, 128,865.72 and 26,744.02 is: 40,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902.38 : 128,865.72 = 26,744.02 : x
  2. Step 2: Convert to fraction form
    85,902.38/128,865.72 = 26,744.02/x
  3. Step 3: Cross multiply
    85,902.38x = 128,865.72 × 26,744.02
  4. Step 4: Simplify right side
    85,902.38x = 3,446,387,392.99
  5. Step 5: Solve for x
    x = 3,446,387,392.99/85,902.38
  6. Step 6: Final answer
    x = 40,119.81

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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.