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Finding the Fourth Proportional to 65,123.60, 89,865.21 and 36,441.78

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Solution

The fourth proportional to 65,123.60, 89,865.21 and 36,441.78 is: 50,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.60 : 89,865.21 = 36,441.78 : x
  2. Step 2: Convert to fraction form
    65,123.60/89,865.21 = 36,441.78/x
  3. Step 3: Cross multiply
    65,123.60x = 89,865.21 × 36,441.78
  4. Step 4: Simplify right side
    65,123.60x = 3,274,847,763.15
  5. Step 5: Solve for x
    x = 3,274,847,763.15/65,123.60
  6. Step 6: Final answer
    x = 50,286.65

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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.