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Finding the Fourth Proportional to 31,600.68, 47,403.74 and 8,227.16

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Solution

The fourth proportional to 31,600.68, 47,403.74 and 8,227.16 is: 12,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.68 : 47,403.74 = 8,227.16 : x
  2. Step 2: Convert to fraction form
    31,600.68/47,403.74 = 8,227.16/x
  3. Step 3: Cross multiply
    31,600.68x = 47,403.74 × 8,227.16
  4. Step 4: Simplify right side
    31,600.68x = 389,998,153.58
  5. Step 5: Solve for x
    x = 389,998,153.58/31,600.68
  6. Step 6: Final answer
    x = 12,341.45

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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.