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Finding the Fourth Proportional to 29,151.94, 43,705.69 and 9,149.90

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Solution

The fourth proportional to 29,151.94, 43,705.69 and 9,149.90 is: 13,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,151.94 : 43,705.69 = 9,149.90 : x
  2. Step 2: Convert to fraction form
    29,151.94/43,705.69 = 9,149.90/x
  3. Step 3: Cross multiply
    29,151.94x = 43,705.69 × 9,149.90
  4. Step 4: Simplify right side
    29,151.94x = 399,902,692.93
  5. Step 5: Solve for x
    x = 399,902,692.93/29,151.94
  6. Step 6: Final answer
    x = 13,717.88

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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.