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Finding the Fourth Proportional to 31,633.78, 43,653.11 and 17,294.35

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Solution

The fourth proportional to 31,633.78, 43,653.11 and 17,294.35 is: 23,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.78 : 43,653.11 = 17,294.35 : x
  2. Step 2: Convert to fraction form
    31,633.78/43,653.11 = 17,294.35/x
  3. Step 3: Cross multiply
    31,633.78x = 43,653.11 × 17,294.35
  4. Step 4: Simplify right side
    31,633.78x = 754,951,967.32
  5. Step 5: Solve for x
    x = 754,951,967.32/31,633.78
  6. Step 6: Final answer
    x = 23,865.38

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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.