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Finding the Fourth Proportional to 65,205.20, 89,986.52 and 36,523.15

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Solution

The fourth proportional to 65,205.20, 89,986.52 and 36,523.15 is: 50,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.20 : 89,986.52 = 36,523.15 : x
  2. Step 2: Convert to fraction form
    65,205.20/89,986.52 = 36,523.15/x
  3. Step 3: Cross multiply
    65,205.20x = 89,986.52 × 36,523.15
  4. Step 4: Simplify right side
    65,205.20x = 3,286,590,760.36
  5. Step 5: Solve for x
    x = 3,286,590,760.36/65,205.20
  6. Step 6: Final answer
    x = 50,403.82

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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.