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Finding the Fourth Proportional to 38,244, 52,753.84 and 24,072.24

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Solution

The fourth proportional to 38,244, 52,753.84 and 24,072.24 is: 33,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244 : 52,753.84 = 24,072.24 : x
  2. Step 2: Convert to fraction form
    38,244/52,753.84 = 24,072.24/x
  3. Step 3: Cross multiply
    38,244x = 52,753.84 × 24,072.24
  4. Step 4: Simplify right side
    38,244x = 1,269,903,097.40
  5. Step 5: Solve for x
    x = 1,269,903,097.40/38,244
  6. Step 6: Final answer
    x = 33,205.29

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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.