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Finding the Fourth Proportional to 29,638, 44,467.32 and 14,843.60

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Solution

The fourth proportional to 29,638, 44,467.32 and 14,843.60 is: 22,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638 : 44,467.32 = 14,843.60 : x
  2. Step 2: Convert to fraction form
    29,638/44,467.32 = 14,843.60/x
  3. Step 3: Cross multiply
    29,638x = 44,467.32 × 14,843.60
  4. Step 4: Simplify right side
    29,638x = 660,055,111.15
  5. Step 5: Solve for x
    x = 660,055,111.15/29,638
  6. Step 6: Final answer
    x = 22,270.57

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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.