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Finding the Fourth Proportional to 71,059.78, 106,589.66 and 21,140.59

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Solution

The fourth proportional to 71,059.78, 106,589.66 and 21,140.59 is: 31,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,059.78 : 106,589.66 = 21,140.59 : x
  2. Step 2: Convert to fraction form
    71,059.78/106,589.66 = 21,140.59/x
  3. Step 3: Cross multiply
    71,059.78x = 106,589.66 × 21,140.59
  4. Step 4: Simplify right side
    71,059.78x = 2,253,367,661.65
  5. Step 5: Solve for x
    x = 2,253,367,661.65/71,059.78
  6. Step 6: Final answer
    x = 31,710.88

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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.