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Finding the Fourth Proportional to 65,777.40, 98,680.82 and 30,697.92

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Solution

The fourth proportional to 65,777.40, 98,680.82 and 30,697.92 is: 46,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,777.40 : 98,680.82 = 30,697.92 : x
  2. Step 2: Convert to fraction form
    65,777.40/98,680.82 = 30,697.92/x
  3. Step 3: Cross multiply
    65,777.40x = 98,680.82 × 30,697.92
  4. Step 4: Simplify right side
    65,777.40x = 3,029,295,764.40
  5. Step 5: Solve for x
    x = 3,029,295,764.40/65,777.40
  6. Step 6: Final answer
    x = 46,053.75

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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.