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Finding the Fourth Proportional to 31,640.46, 47,464.88 and 11,647.23

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Solution

The fourth proportional to 31,640.46, 47,464.88 and 11,647.23 is: 17,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.46 : 47,464.88 = 11,647.23 : x
  2. Step 2: Convert to fraction form
    31,640.46/47,464.88 = 11,647.23/x
  3. Step 3: Cross multiply
    31,640.46x = 47,464.88 × 11,647.23
  4. Step 4: Simplify right side
    31,640.46x = 552,834,316.05
  5. Step 5: Solve for x
    x = 552,834,316.05/31,640.46
  6. Step 6: Final answer
    x = 17,472.39

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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.