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Finding the Fourth Proportional to 29,202.12, 43,809.66 and 8,424

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Solution

The fourth proportional to 29,202.12, 43,809.66 and 8,424 is: 12,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202.12 : 43,809.66 = 8,424 : x
  2. Step 2: Convert to fraction form
    29,202.12/43,809.66 = 8,424/x
  3. Step 3: Cross multiply
    29,202.12x = 43,809.66 × 8,424
  4. Step 4: Simplify right side
    29,202.12x = 369,052,575.84
  5. Step 5: Solve for x
    x = 369,052,575.84/29,202.12
  6. Step 6: Final answer
    x = 12,637.87

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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.