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Finding the Fourth Proportional to 38,216, 52,738.44 and 21,449.36

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Solution

The fourth proportional to 38,216, 52,738.44 and 21,449.36 is: 29,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216 : 52,738.44 = 21,449.36 : x
  2. Step 2: Convert to fraction form
    38,216/52,738.44 = 21,449.36/x
  3. Step 3: Cross multiply
    38,216x = 52,738.44 × 21,449.36
  4. Step 4: Simplify right side
    38,216x = 1,131,205,785.40
  5. Step 5: Solve for x
    x = 1,131,205,785.40/38,216
  6. Step 6: Final answer
    x = 29,600.32

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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.