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Finding the Fourth Proportional to 29,198, 43,803.56 and 8,419.92

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Solution

The fourth proportional to 29,198, 43,803.56 and 8,419.92 is: 12,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 43,803.56 = 8,419.92 : x
  2. Step 2: Convert to fraction form
    29,198/43,803.56 = 8,419.92/x
  3. Step 3: Cross multiply
    29,198x = 43,803.56 × 8,419.92
  4. Step 4: Simplify right side
    29,198x = 368,822,470.92
  5. Step 5: Solve for x
    x = 368,822,470.92/29,198
  6. Step 6: Final answer
    x = 12,631.77

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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.