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Finding the Fourth Proportional to 65,769.80, 98,669.10 and 32,505.80

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Solution

The fourth proportional to 65,769.80, 98,669.10 and 32,505.80 is: 48,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,769.80 : 98,669.10 = 32,505.80 : x
  2. Step 2: Convert to fraction form
    65,769.80/98,669.10 = 32,505.80/x
  3. Step 3: Cross multiply
    65,769.80x = 98,669.10 × 32,505.80
  4. Step 4: Simplify right side
    65,769.80x = 3,207,318,030.78
  5. Step 5: Solve for x
    x = 3,207,318,030.78/65,769.80
  6. Step 6: Final answer
    x = 48,765.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.