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Finding the Fourth Proportional to 65,305.80, 97,958.70 and 52,183.80

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Solution

The fourth proportional to 65,305.80, 97,958.70 and 52,183.80 is: 78,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.80 : 97,958.70 = 52,183.80 : x
  2. Step 2: Convert to fraction form
    65,305.80/97,958.70 = 52,183.80/x
  3. Step 3: Cross multiply
    65,305.80x = 97,958.70 × 52,183.80
  4. Step 4: Simplify right side
    65,305.80x = 5,111,857,209.06
  5. Step 5: Solve for x
    x = 5,111,857,209.06/65,305.80
  6. Step 6: Final answer
    x = 78,275.70

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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.