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Finding the Fourth Proportional to 38,257.40, 52,794.15 and 21,261.21

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Solution

The fourth proportional to 38,257.40, 52,794.15 and 21,261.21 is: 29,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.40 : 52,794.15 = 21,261.21 : x
  2. Step 2: Convert to fraction form
    38,257.40/52,794.15 = 21,261.21/x
  3. Step 3: Cross multiply
    38,257.40x = 52,794.15 × 21,261.21
  4. Step 4: Simplify right side
    38,257.40x = 1,122,467,509.92
  5. Step 5: Solve for x
    x = 1,122,467,509.92/38,257.40
  6. Step 6: Final answer
    x = 29,339.88

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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.