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Finding the Fourth Proportional to 27,831, 41,677.24 and 19,471.88

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Solution

The fourth proportional to 27,831, 41,677.24 and 19,471.88 is: 29,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831 : 41,677.24 = 19,471.88 : x
  2. Step 2: Convert to fraction form
    27,831/41,677.24 = 19,471.88/x
  3. Step 3: Cross multiply
    27,831x = 41,677.24 × 19,471.88
  4. Step 4: Simplify right side
    27,831x = 811,534,216.01
  5. Step 5: Solve for x
    x = 811,534,216.01/27,831
  6. Step 6: Final answer
    x = 29,159.36

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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.