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Finding the Fourth Proportional to 29,745, 44,634.78 and 13,329

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Solution

The fourth proportional to 29,745, 44,634.78 and 13,329 is: 20,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745 : 44,634.78 = 13,329 : x
  2. Step 2: Convert to fraction form
    29,745/44,634.78 = 13,329/x
  3. Step 3: Cross multiply
    29,745x = 44,634.78 × 13,329
  4. Step 4: Simplify right side
    29,745x = 594,936,982.62
  5. Step 5: Solve for x
    x = 594,936,982.62/29,745
  6. Step 6: Final answer
    x = 20,001.24

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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.