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Finding the Fourth Proportional to 29,219.92, 43,837.24 and 8,443.28

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Solution

The fourth proportional to 29,219.92, 43,837.24 and 8,443.28 is: 12,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.92 : 43,837.24 = 8,443.28 : x
  2. Step 2: Convert to fraction form
    29,219.92/43,837.24 = 8,443.28/x
  3. Step 3: Cross multiply
    29,219.92x = 43,837.24 × 8,443.28
  4. Step 4: Simplify right side
    29,219.92x = 370,130,091.75
  5. Step 5: Solve for x
    x = 370,130,091.75/29,219.92
  6. Step 6: Final answer
    x = 12,667.05

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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.