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Finding the Fourth Proportional to 29,838, 44,747.45 and 9,843.02

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Solution

The fourth proportional to 29,838, 44,747.45 and 9,843.02 is: 14,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838 : 44,747.45 = 9,843.02 : x
  2. Step 2: Convert to fraction form
    29,838/44,747.45 = 9,843.02/x
  3. Step 3: Cross multiply
    29,838x = 44,747.45 × 9,843.02
  4. Step 4: Simplify right side
    29,838x = 440,449,772.35
  5. Step 5: Solve for x
    x = 440,449,772.35/29,838
  6. Step 6: Final answer
    x = 14,761.37

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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.