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Finding the Fourth Proportional to 31,970.69, 47,962.96 and 12,249.25

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Solution

The fourth proportional to 31,970.69, 47,962.96 and 12,249.25 is: 18,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.69 : 47,962.96 = 12,249.25 : x
  2. Step 2: Convert to fraction form
    31,970.69/47,962.96 = 12,249.25/x
  3. Step 3: Cross multiply
    31,970.69x = 47,962.96 × 12,249.25
  4. Step 4: Simplify right side
    31,970.69x = 587,510,287.78
  5. Step 5: Solve for x
    x = 587,510,287.78/31,970.69
  6. Step 6: Final answer
    x = 18,376.53

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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.