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Finding the Fourth Proportional to 29,296.65, 43,947.02 and 11,766.47

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Solution

The fourth proportional to 29,296.65, 43,947.02 and 11,766.47 is: 17,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296.65 : 43,947.02 = 11,766.47 : x
  2. Step 2: Convert to fraction form
    29,296.65/43,947.02 = 11,766.47/x
  3. Step 3: Cross multiply
    29,296.65x = 43,947.02 × 11,766.47
  4. Step 4: Simplify right side
    29,296.65x = 517,101,013.85
  5. Step 5: Solve for x
    x = 517,101,013.85/29,296.65
  6. Step 6: Final answer
    x = 17,650.52

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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.