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Finding the Fourth Proportional to 31,211.65, 43,072.19 and 17,064.73

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Solution

The fourth proportional to 31,211.65, 43,072.19 and 17,064.73 is: 23,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.65 : 43,072.19 = 17,064.73 : x
  2. Step 2: Convert to fraction form
    31,211.65/43,072.19 = 17,064.73/x
  3. Step 3: Cross multiply
    31,211.65x = 43,072.19 × 17,064.73
  4. Step 4: Simplify right side
    31,211.65x = 735,015,292.86
  5. Step 5: Solve for x
    x = 735,015,292.86/31,211.65
  6. Step 6: Final answer
    x = 23,549.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.