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Finding the Fourth Proportional to 38,643.80, 57,974.10 and 22,011.80

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Solution

The fourth proportional to 38,643.80, 57,974.10 and 22,011.80 is: 33,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.80 : 57,974.10 = 22,011.80 : x
  2. Step 2: Convert to fraction form
    38,643.80/57,974.10 = 22,011.80/x
  3. Step 3: Cross multiply
    38,643.80x = 57,974.10 × 22,011.80
  4. Step 4: Simplify right side
    38,643.80x = 1,276,114,294.38
  5. Step 5: Solve for x
    x = 1,276,114,294.38/38,643.80
  6. Step 6: Final answer
    x = 33,022.48

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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.