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Finding the Fourth Proportional to 67,832.80, 101,724.90 and 34,541.80

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Solution

The fourth proportional to 67,832.80, 101,724.90 and 34,541.80 is: 51,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832.80 : 101,724.90 = 34,541.80 : x
  2. Step 2: Convert to fraction form
    67,832.80/101,724.90 = 34,541.80/x
  3. Step 3: Cross multiply
    67,832.80x = 101,724.90 × 34,541.80
  4. Step 4: Simplify right side
    67,832.80x = 3,513,761,150.82
  5. Step 5: Solve for x
    x = 3,513,761,150.82/67,832.80
  6. Step 6: Final answer
    x = 51,800.33

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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.