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Finding the Fourth Proportional to 31,990.72, 47,986.08 and 11,214.28

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Solution

The fourth proportional to 31,990.72, 47,986.08 and 11,214.28 is: 16,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.72 : 47,986.08 = 11,214.28 : x
  2. Step 2: Convert to fraction form
    31,990.72/47,986.08 = 11,214.28/x
  3. Step 3: Cross multiply
    31,990.72x = 47,986.08 × 11,214.28
  4. Step 4: Simplify right side
    31,990.72x = 538,129,337.22
  5. Step 5: Solve for x
    x = 538,129,337.22/31,990.72
  6. Step 6: Final answer
    x = 16,821.42

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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.