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Finding the Fourth Proportional to 31,578.78, 47,327.16 and 12,837

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Solution

The fourth proportional to 31,578.78, 47,327.16 and 12,837 is: 19,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.78 : 47,327.16 = 12,837 : x
  2. Step 2: Convert to fraction form
    31,578.78/47,327.16 = 12,837/x
  3. Step 3: Cross multiply
    31,578.78x = 47,327.16 × 12,837
  4. Step 4: Simplify right side
    31,578.78x = 607,538,752.92
  5. Step 5: Solve for x
    x = 607,538,752.92/31,578.78
  6. Step 6: Final answer
    x = 19,238.83

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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.