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Finding the Fourth Proportional to 29,758.97, 41,068.28 and 16,331.09

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Solution

The fourth proportional to 29,758.97, 41,068.28 and 16,331.09 is: 22,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.97 : 41,068.28 = 16,331.09 : x
  2. Step 2: Convert to fraction form
    29,758.97/41,068.28 = 16,331.09/x
  3. Step 3: Cross multiply
    29,758.97x = 41,068.28 × 16,331.09
  4. Step 4: Simplify right side
    29,758.97x = 670,689,489.83
  5. Step 5: Solve for x
    x = 670,689,489.83/29,758.97
  6. Step 6: Final answer
    x = 22,537.39

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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.