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Finding the Fourth Proportional to 31,747.35, 47,623.02 and 8,373.81

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Solution

The fourth proportional to 31,747.35, 47,623.02 and 8,373.81 is: 12,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.35 : 47,623.02 = 8,373.81 : x
  2. Step 2: Convert to fraction form
    31,747.35/47,623.02 = 8,373.81/x
  3. Step 3: Cross multiply
    31,747.35x = 47,623.02 × 8,373.81
  4. Step 4: Simplify right side
    31,747.35x = 398,786,121.11
  5. Step 5: Solve for x
    x = 398,786,121.11/31,747.35
  6. Step 6: Final answer
    x = 12,561.24

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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.