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Finding the Fourth Proportional to 31,651.95, 43,679.08 and 17,311.40

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Solution

The fourth proportional to 31,651.95, 43,679.08 and 17,311.40 is: 23,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.95 : 43,679.08 = 17,311.40 : x
  2. Step 2: Convert to fraction form
    31,651.95/43,679.08 = 17,311.40/x
  3. Step 3: Cross multiply
    31,651.95x = 43,679.08 × 17,311.40
  4. Step 4: Simplify right side
    31,651.95x = 756,146,025.51
  5. Step 5: Solve for x
    x = 756,146,025.51/31,651.95
  6. Step 6: Final answer
    x = 23,889.40

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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.