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Finding the Fourth Proportional to 34,559.97, 47,679.72 and 20,215.22

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Solution

The fourth proportional to 34,559.97, 47,679.72 and 20,215.22 is: 27,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,559.97 : 47,679.72 = 20,215.22 : x
  2. Step 2: Convert to fraction form
    34,559.97/47,679.72 = 20,215.22/x
  3. Step 3: Cross multiply
    34,559.97x = 47,679.72 × 20,215.22
  4. Step 4: Simplify right side
    34,559.97x = 963,856,097.04
  5. Step 5: Solve for x
    x = 963,856,097.04/34,559.97
  6. Step 6: Final answer
    x = 27,889.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.