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Finding the Fourth Proportional to 31,601.88, 47,402.64 and 8,228.28

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Solution

The fourth proportional to 31,601.88, 47,402.64 and 8,228.28 is: 12,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.88 : 47,402.64 = 8,228.28 : x
  2. Step 2: Convert to fraction form
    31,601.88/47,402.64 = 8,228.28/x
  3. Step 3: Cross multiply
    31,601.88x = 47,402.64 × 8,228.28
  4. Step 4: Simplify right side
    31,601.88x = 390,042,194.66
  5. Step 5: Solve for x
    x = 390,042,194.66/31,601.88
  6. Step 6: Final answer
    x = 12,342.37

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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.