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Finding the Fourth Proportional to 65,661.78, 98,523.44 and 32,363.69

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Solution

The fourth proportional to 65,661.78, 98,523.44 and 32,363.69 is: 48,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661.78 : 98,523.44 = 32,363.69 : x
  2. Step 2: Convert to fraction form
    65,661.78/98,523.44 = 32,363.69/x
  3. Step 3: Cross multiply
    65,661.78x = 98,523.44 × 32,363.69
  4. Step 4: Simplify right side
    65,661.78x = 3,188,581,415.46
  5. Step 5: Solve for x
    x = 3,188,581,415.46/65,661.78
  6. Step 6: Final answer
    x = 48,560.69

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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.