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Finding the Fourth Proportional to 31,211.46, 43,071.87 and 17,064.30

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Solution

The fourth proportional to 31,211.46, 43,071.87 and 17,064.30 is: 23,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.46 : 43,071.87 = 17,064.30 : x
  2. Step 2: Convert to fraction form
    31,211.46/43,071.87 = 17,064.30/x
  3. Step 3: Cross multiply
    31,211.46x = 43,071.87 × 17,064.30
  4. Step 4: Simplify right side
    31,211.46x = 734,991,311.24
  5. Step 5: Solve for x
    x = 734,991,311.24/31,211.46
  6. Step 6: Final answer
    x = 23,548.76

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