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Finding the Fourth Proportional to 29,165.98, 43,743.81 and 8,107.51

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Solution

The fourth proportional to 29,165.98, 43,743.81 and 8,107.51 is: 12,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.98 : 43,743.81 = 8,107.51 : x
  2. Step 2: Convert to fraction form
    29,165.98/43,743.81 = 8,107.51/x
  3. Step 3: Cross multiply
    29,165.98x = 43,743.81 × 8,107.51
  4. Step 4: Simplify right side
    29,165.98x = 354,653,377.01
  5. Step 5: Solve for x
    x = 354,653,377.01/29,165.98
  6. Step 6: Final answer
    x = 12,159.83

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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.