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Finding the Fourth Proportional to 29,267.91, 43,900.32 and 8,209.40

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Solution

The fourth proportional to 29,267.91, 43,900.32 and 8,209.40 is: 12,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,267.91 : 43,900.32 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    29,267.91/43,900.32 = 8,209.40/x
  3. Step 3: Cross multiply
    29,267.91x = 43,900.32 × 8,209.40
  4. Step 4: Simplify right side
    29,267.91x = 360,395,396.76
  5. Step 5: Solve for x
    x = 360,395,396.76/29,267.91
  6. Step 6: Final answer
    x = 12,313.67

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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.