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Finding the Fourth Proportional to 29,285.70, 43,923.69 and 8,223.90

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Solution

The fourth proportional to 29,285.70, 43,923.69 and 8,223.90 is: 12,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,285.70 : 43,923.69 = 8,223.90 : x
  2. Step 2: Convert to fraction form
    29,285.70/43,923.69 = 8,223.90/x
  3. Step 3: Cross multiply
    29,285.70x = 43,923.69 × 8,223.90
  4. Step 4: Simplify right side
    29,285.70x = 361,224,034.19
  5. Step 5: Solve for x
    x = 361,224,034.19/29,285.70
  6. Step 6: Final answer
    x = 12,334.49

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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.