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Finding the Fourth Proportional to 29,351.84, 44,035.20 and 8,291.84

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Solution

The fourth proportional to 29,351.84, 44,035.20 and 8,291.84 is: 12,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,351.84 : 44,035.20 = 8,291.84 : x
  2. Step 2: Convert to fraction form
    29,351.84/44,035.20 = 8,291.84/x
  3. Step 3: Cross multiply
    29,351.84x = 44,035.20 × 8,291.84
  4. Step 4: Simplify right side
    29,351.84x = 365,132,832.77
  5. Step 5: Solve for x
    x = 365,132,832.77/29,351.84
  6. Step 6: Final answer
    x = 12,439.86

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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.