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Finding the Fourth Proportional to 65,892.91, 90,932.39 and 35,678.60

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Solution

The fourth proportional to 65,892.91, 90,932.39 and 35,678.60 is: 49,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892.91 : 90,932.39 = 35,678.60 : x
  2. Step 2: Convert to fraction form
    65,892.91/90,932.39 = 35,678.60/x
  3. Step 3: Cross multiply
    65,892.91x = 90,932.39 × 35,678.60
  4. Step 4: Simplify right side
    65,892.91x = 3,244,340,369.85
  5. Step 5: Solve for x
    x = 3,244,340,369.85/65,892.91
  6. Step 6: Final answer
    x = 49,236.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.