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Finding the Fourth Proportional to 38,241, 52,772.58 and 21,474

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Solution

The fourth proportional to 38,241, 52,772.58 and 21,474 is: 29,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241 : 52,772.58 = 21,474 : x
  2. Step 2: Convert to fraction form
    38,241/52,772.58 = 21,474/x
  3. Step 3: Cross multiply
    38,241x = 52,772.58 × 21,474
  4. Step 4: Simplify right side
    38,241x = 1,133,238,382.92
  5. Step 5: Solve for x
    x = 1,133,238,382.92/38,241
  6. Step 6: Final answer
    x = 29,634.12

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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.