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Finding the Fourth Proportional to 29,238.05, 43,859.84 and 8,178.09

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Solution

The fourth proportional to 29,238.05, 43,859.84 and 8,178.09 is: 12,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.05 : 43,859.84 = 8,178.09 : x
  2. Step 2: Convert to fraction form
    29,238.05/43,859.84 = 8,178.09/x
  3. Step 3: Cross multiply
    29,238.05x = 43,859.84 × 8,178.09
  4. Step 4: Simplify right side
    29,238.05x = 358,689,718.91
  5. Step 5: Solve for x
    x = 358,689,718.91/29,238.05
  6. Step 6: Final answer
    x = 12,267.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.