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Finding the Fourth Proportional to 67,808.72, 101,724.84 and 22,825.80

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Solution

The fourth proportional to 67,808.72, 101,724.84 and 22,825.80 is: 34,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,808.72 : 101,724.84 = 22,825.80 : x
  2. Step 2: Convert to fraction form
    67,808.72/101,724.84 = 22,825.80/x
  3. Step 3: Cross multiply
    67,808.72x = 101,724.84 × 22,825.80
  4. Step 4: Simplify right side
    67,808.72x = 2,321,950,852.87
  5. Step 5: Solve for x
    x = 2,321,950,852.87/67,808.72
  6. Step 6: Final answer
    x = 34,242.66

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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.