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Finding the Fourth Proportional to 38,216, 52,738.08 and 21,449

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Solution

The fourth proportional to 38,216, 52,738.08 and 21,449 is: 29,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216 : 52,738.08 = 21,449 : x
  2. Step 2: Convert to fraction form
    38,216/52,738.08 = 21,449/x
  3. Step 3: Cross multiply
    38,216x = 52,738.08 × 21,449
  4. Step 4: Simplify right side
    38,216x = 1,131,179,077.92
  5. Step 5: Solve for x
    x = 1,131,179,077.92/38,216
  6. Step 6: Final answer
    x = 29,599.62

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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.