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Finding the Fourth Proportional to 65,102.66, 89,844.10 and 36,806.66

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Solution

The fourth proportional to 65,102.66, 89,844.10 and 36,806.66 is: 50,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.66 : 89,844.10 = 36,806.66 : x
  2. Step 2: Convert to fraction form
    65,102.66/89,844.10 = 36,806.66/x
  3. Step 3: Cross multiply
    65,102.66x = 89,844.10 × 36,806.66
  4. Step 4: Simplify right side
    65,102.66x = 3,306,861,241.71
  5. Step 5: Solve for x
    x = 3,306,861,241.71/65,102.66
  6. Step 6: Final answer
    x = 50,794.56

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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.