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Finding the Fourth Proportional to 29,833.72, 44,744.28 and 8,768.05

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Solution

The fourth proportional to 29,833.72, 44,744.28 and 8,768.05 is: 13,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.72 : 44,744.28 = 8,768.05 : x
  2. Step 2: Convert to fraction form
    29,833.72/44,744.28 = 8,768.05/x
  3. Step 3: Cross multiply
    29,833.72x = 44,744.28 × 8,768.05
  4. Step 4: Simplify right side
    29,833.72x = 392,319,816.69
  5. Step 5: Solve for x
    x = 392,319,816.69/29,833.72
  6. Step 6: Final answer
    x = 13,150.21

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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.