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Finding the Fourth Proportional to 29,267.66, 43,899.95 and 8,209.16

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Solution

The fourth proportional to 29,267.66, 43,899.95 and 8,209.16 is: 12,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,267.66 : 43,899.95 = 8,209.16 : x
  2. Step 2: Convert to fraction form
    29,267.66/43,899.95 = 8,209.16/x
  3. Step 3: Cross multiply
    29,267.66x = 43,899.95 × 8,209.16
  4. Step 4: Simplify right side
    29,267.66x = 360,381,453.00
  5. Step 5: Solve for x
    x = 360,381,453.00/29,267.66
  6. Step 6: Final answer
    x = 12,313.30

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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.