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Finding the Fourth Proportional to 38,261.39, 57,392 and 10,181.44

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Solution

The fourth proportional to 38,261.39, 57,392 and 10,181.44 is: 15,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,261.39 : 57,392 = 10,181.44 : x
  2. Step 2: Convert to fraction form
    38,261.39/57,392 = 10,181.44/x
  3. Step 3: Cross multiply
    38,261.39x = 57,392 × 10,181.44
  4. Step 4: Simplify right side
    38,261.39x = 584,333,204.48
  5. Step 5: Solve for x
    x = 584,333,204.48/38,261.39
  6. Step 6: Final answer
    x = 15,272.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.