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Finding the Fourth Proportional to 29,834.40, 44,751.36 and 9,057.90

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Solution

The fourth proportional to 29,834.40, 44,751.36 and 9,057.90 is: 13,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.40 : 44,751.36 = 9,057.90 : x
  2. Step 2: Convert to fraction form
    29,834.40/44,751.36 = 9,057.90/x
  3. Step 3: Cross multiply
    29,834.40x = 44,751.36 × 9,057.90
  4. Step 4: Simplify right side
    29,834.40x = 405,353,343.74
  5. Step 5: Solve for x
    x = 405,353,343.74/29,834.40
  6. Step 6: Final answer
    x = 13,586.78

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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.