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Finding the Fourth Proportional to 29,872.80, 41,261.40 and 21,902.40

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Solution

The fourth proportional to 29,872.80, 41,261.40 and 21,902.40 is: 30,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.80 : 41,261.40 = 21,902.40 : x
  2. Step 2: Convert to fraction form
    29,872.80/41,261.40 = 21,902.40/x
  3. Step 3: Cross multiply
    29,872.80x = 41,261.40 × 21,902.40
  4. Step 4: Simplify right side
    29,872.80x = 903,723,687.36
  5. Step 5: Solve for x
    x = 903,723,687.36/29,872.80
  6. Step 6: Final answer
    x = 30,252.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.