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Finding the Fourth Proportional to 29,164.98, 43,742.31 and 8,106.51

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Solution

The fourth proportional to 29,164.98, 43,742.31 and 8,106.51 is: 12,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.98 : 43,742.31 = 8,106.51 : x
  2. Step 2: Convert to fraction form
    29,164.98/43,742.31 = 8,106.51/x
  3. Step 3: Cross multiply
    29,164.98x = 43,742.31 × 8,106.51
  4. Step 4: Simplify right side
    29,164.98x = 354,597,473.44
  5. Step 5: Solve for x
    x = 354,597,473.44/29,164.98
  6. Step 6: Final answer
    x = 12,158.33

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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.