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Finding the Fourth Proportional to 38,241.30, 52,772.25 and 21,245.47

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Solution

The fourth proportional to 38,241.30, 52,772.25 and 21,245.47 is: 29,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241.30 : 52,772.25 = 21,245.47 : x
  2. Step 2: Convert to fraction form
    38,241.30/52,772.25 = 21,245.47/x
  3. Step 3: Cross multiply
    38,241.30x = 52,772.25 × 21,245.47
  4. Step 4: Simplify right side
    38,241.30x = 1,121,171,254.21
  5. Step 5: Solve for x
    x = 1,121,171,254.21/38,241.30
  6. Step 6: Final answer
    x = 29,318.34

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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.