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Finding the Fourth Proportional to 31,601.93, 47,405.73 and 8,228.57

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Solution

The fourth proportional to 31,601.93, 47,405.73 and 8,228.57 is: 12,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.93 : 47,405.73 = 8,228.57 : x
  2. Step 2: Convert to fraction form
    31,601.93/47,405.73 = 8,228.57/x
  3. Step 3: Cross multiply
    31,601.93x = 47,405.73 × 8,228.57
  4. Step 4: Simplify right side
    31,601.93x = 390,081,367.71
  5. Step 5: Solve for x
    x = 390,081,367.71/31,601.93
  6. Step 6: Final answer
    x = 12,343.59

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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.