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Finding the Fourth Proportional to 65,780.64, 98,523.36 and 50,944.68

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Solution

The fourth proportional to 65,780.64, 98,523.36 and 50,944.68 is: 76,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.64 : 98,523.36 = 50,944.68 : x
  2. Step 2: Convert to fraction form
    65,780.64/98,523.36 = 50,944.68/x
  3. Step 3: Cross multiply
    65,780.64x = 98,523.36 × 50,944.68
  4. Step 4: Simplify right side
    65,780.64x = 5,019,241,047.72
  5. Step 5: Solve for x
    x = 5,019,241,047.72/65,780.64
  6. Step 6: Final answer
    x = 76,302.71

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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.