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Finding the Fourth Proportional to 29,243.88, 43,872.30 and 13,653

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Solution

The fourth proportional to 29,243.88, 43,872.30 and 13,653 is: 20,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,243.88 : 43,872.30 = 13,653 : x
  2. Step 2: Convert to fraction form
    29,243.88/43,872.30 = 13,653/x
  3. Step 3: Cross multiply
    29,243.88x = 43,872.30 × 13,653
  4. Step 4: Simplify right side
    29,243.88x = 598,988,511.90
  5. Step 5: Solve for x
    x = 598,988,511.90/29,243.88
  6. Step 6: Final answer
    x = 20,482.53

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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.