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Finding the Fourth Proportional to 31,515.77, 47,274.14 and 9,331.39

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Solution

The fourth proportional to 31,515.77, 47,274.14 and 9,331.39 is: 13,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.77 : 47,274.14 = 9,331.39 : x
  2. Step 2: Convert to fraction form
    31,515.77/47,274.14 = 9,331.39/x
  3. Step 3: Cross multiply
    31,515.77x = 47,274.14 × 9,331.39
  4. Step 4: Simplify right side
    31,515.77x = 441,133,272.41
  5. Step 5: Solve for x
    x = 441,133,272.41/31,515.77
  6. Step 6: Final answer
    x = 13,997.23

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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.