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Finding the Fourth Proportional to 65,581.80, 98,324.10 and 28,111.20

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Solution

The fourth proportional to 65,581.80, 98,324.10 and 28,111.20 is: 42,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,581.80 : 98,324.10 = 28,111.20 : x
  2. Step 2: Convert to fraction form
    65,581.80/98,324.10 = 28,111.20/x
  3. Step 3: Cross multiply
    65,581.80x = 98,324.10 × 28,111.20
  4. Step 4: Simplify right side
    65,581.80x = 2,764,008,439.92
  5. Step 5: Solve for x
    x = 2,764,008,439.92/65,581.80
  6. Step 6: Final answer
    x = 42,145.97

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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.