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Finding the Fourth Proportional to 65,049.12, 89,768.16 and 35,241.12

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Solution

The fourth proportional to 65,049.12, 89,768.16 and 35,241.12 is: 48,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.12 : 89,768.16 = 35,241.12 : x
  2. Step 2: Convert to fraction form
    65,049.12/89,768.16 = 35,241.12/x
  3. Step 3: Cross multiply
    65,049.12x = 89,768.16 × 35,241.12
  4. Step 4: Simplify right side
    65,049.12x = 3,163,530,498.74
  5. Step 5: Solve for x
    x = 3,163,530,498.74/65,049.12
  6. Step 6: Final answer
    x = 48,632.95

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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.