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Finding the Fourth Proportional to 23,261.40, 34,891.82 and 5,731.40

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Solution

The fourth proportional to 23,261.40, 34,891.82 and 5,731.40 is: 8,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.40 : 34,891.82 = 5,731.40 : x
  2. Step 2: Convert to fraction form
    23,261.40/34,891.82 = 5,731.40/x
  3. Step 3: Cross multiply
    23,261.40x = 34,891.82 × 5,731.40
  4. Step 4: Simplify right side
    23,261.40x = 199,978,977.15
  5. Step 5: Solve for x
    x = 199,978,977.15/23,261.40
  6. Step 6: Final answer
    x = 8,597.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.