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Finding the Fourth Proportional to 65,709.43, 90,679.06 and 35,494.76

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Solution

The fourth proportional to 65,709.43, 90,679.06 and 35,494.76 is: 48,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709.43 : 90,679.06 = 35,494.76 : x
  2. Step 2: Convert to fraction form
    65,709.43/90,679.06 = 35,494.76/x
  3. Step 3: Cross multiply
    65,709.43x = 90,679.06 × 35,494.76
  4. Step 4: Simplify right side
    65,709.43x = 3,218,631,471.73
  5. Step 5: Solve for x
    x = 3,218,631,471.73/65,709.43
  6. Step 6: Final answer
    x = 48,982.79

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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.