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Finding the Fourth Proportional to 37,848, 52,231.86 and 21,081

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Solution

The fourth proportional to 37,848, 52,231.86 and 21,081 is: 29,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,848 : 52,231.86 = 21,081 : x
  2. Step 2: Convert to fraction form
    37,848/52,231.86 = 21,081/x
  3. Step 3: Cross multiply
    37,848x = 52,231.86 × 21,081
  4. Step 4: Simplify right side
    37,848x = 1,101,099,840.66
  5. Step 5: Solve for x
    x = 1,101,099,840.66/37,848
  6. Step 6: Final answer
    x = 29,092.68

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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.