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Finding the Fourth Proportional to 31,371.67, 47,058.78 and 7,998.71

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Solution

The fourth proportional to 31,371.67, 47,058.78 and 7,998.71 is: 11,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,371.67 : 47,058.78 = 7,998.71 : x
  2. Step 2: Convert to fraction form
    31,371.67/47,058.78 = 7,998.71/x
  3. Step 3: Cross multiply
    31,371.67x = 47,058.78 × 7,998.71
  4. Step 4: Simplify right side
    31,371.67x = 376,409,534.17
  5. Step 5: Solve for x
    x = 376,409,534.17/31,371.67
  6. Step 6: Final answer
    x = 11,998.39

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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.