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Finding the Fourth Proportional to 31,211.54, 43,072.10 and 17,064.38

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Solution

The fourth proportional to 31,211.54, 43,072.10 and 17,064.38 is: 23,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.54 : 43,072.10 = 17,064.38 : x
  2. Step 2: Convert to fraction form
    31,211.54/43,072.10 = 17,064.38/x
  3. Step 3: Cross multiply
    31,211.54x = 43,072.10 × 17,064.38
  4. Step 4: Simplify right side
    31,211.54x = 734,998,864.13
  5. Step 5: Solve for x
    x = 734,998,864.13/31,211.54
  6. Step 6: Final answer
    x = 23,548.95

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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.