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Finding the Fourth Proportional to 29,205.25, 43,803.08 and 8,146.71

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Solution

The fourth proportional to 29,205.25, 43,803.08 and 8,146.71 is: 12,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205.25 : 43,803.08 = 8,146.71 : x
  2. Step 2: Convert to fraction form
    29,205.25/43,803.08 = 8,146.71/x
  3. Step 3: Cross multiply
    29,205.25x = 43,803.08 × 8,146.71
  4. Step 4: Simplify right side
    29,205.25x = 356,850,989.87
  5. Step 5: Solve for x
    x = 356,850,989.87/29,205.25
  6. Step 6: Final answer
    x = 12,218.73

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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.