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Finding the Fourth Proportional to 29,469.32, 44,203.55 and 7,282.70

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Solution

The fourth proportional to 29,469.32, 44,203.55 and 7,282.70 is: 10,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.32 : 44,203.55 = 7,282.70 : x
  2. Step 2: Convert to fraction form
    29,469.32/44,203.55 = 7,282.70/x
  3. Step 3: Cross multiply
    29,469.32x = 44,203.55 × 7,282.70
  4. Step 4: Simplify right side
    29,469.32x = 321,921,142.88
  5. Step 5: Solve for x
    x = 321,921,142.88/29,469.32
  6. Step 6: Final answer
    x = 10,923.94

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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.