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Finding the Fourth Proportional to 31,601.74, 47,402.58 and 8,227.54

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Solution

The fourth proportional to 31,601.74, 47,402.58 and 8,227.54 is: 12,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.74 : 47,402.58 = 8,227.54 : x
  2. Step 2: Convert to fraction form
    31,601.74/47,402.58 = 8,227.54/x
  3. Step 3: Cross multiply
    31,601.74x = 47,402.58 × 8,227.54
  4. Step 4: Simplify right side
    31,601.74x = 390,006,623.05
  5. Step 5: Solve for x
    x = 390,006,623.05/31,601.74
  6. Step 6: Final answer
    x = 12,341.30

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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.