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Finding the Fourth Proportional to 65,738.42, 90,719.02 and 35,523.76

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Solution

The fourth proportional to 65,738.42, 90,719.02 and 35,523.76 is: 49,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.42 : 90,719.02 = 35,523.76 : x
  2. Step 2: Convert to fraction form
    65,738.42/90,719.02 = 35,523.76/x
  3. Step 3: Cross multiply
    65,738.42x = 90,719.02 × 35,523.76
  4. Step 4: Simplify right side
    65,738.42x = 3,222,680,062.70
  5. Step 5: Solve for x
    x = 3,222,680,062.70/65,738.42
  6. Step 6: Final answer
    x = 49,022.78

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