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Finding the Fourth Proportional to 29,218.92, 43,835.74 and 8,442.28

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Solution

The fourth proportional to 29,218.92, 43,835.74 and 8,442.28 is: 12,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,218.92 : 43,835.74 = 8,442.28 : x
  2. Step 2: Convert to fraction form
    29,218.92/43,835.74 = 8,442.28/x
  3. Step 3: Cross multiply
    29,218.92x = 43,835.74 × 8,442.28
  4. Step 4: Simplify right side
    29,218.92x = 370,073,591.09
  5. Step 5: Solve for x
    x = 370,073,591.09/29,218.92
  6. Step 6: Final answer
    x = 12,665.55

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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.