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Finding the Fourth Proportional to 29,191, 43,757.22 and 11,397.17

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Solution

The fourth proportional to 29,191, 43,757.22 and 11,397.17 is: 17,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,191 : 43,757.22 = 11,397.17 : x
  2. Step 2: Convert to fraction form
    29,191/43,757.22 = 11,397.17/x
  3. Step 3: Cross multiply
    29,191x = 43,757.22 × 11,397.17
  4. Step 4: Simplify right side
    29,191x = 498,708,475.07
  5. Step 5: Solve for x
    x = 498,708,475.07/29,191
  6. Step 6: Final answer
    x = 17,084.32

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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.