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Finding the Fourth Proportional to 38,144, 52,641.96 and 21,380.24

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Solution

The fourth proportional to 38,144, 52,641.96 and 21,380.24 is: 29,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144 : 52,641.96 = 21,380.24 : x
  2. Step 2: Convert to fraction form
    38,144/52,641.96 = 21,380.24/x
  3. Step 3: Cross multiply
    38,144x = 52,641.96 × 21,380.24
  4. Step 4: Simplify right side
    38,144x = 1,125,497,738.87
  5. Step 5: Solve for x
    x = 1,125,497,738.87/38,144
  6. Step 6: Final answer
    x = 29,506.55

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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.