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Finding the Fourth Proportional to 34,491.88, 51,694.52 and 14,747.22

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Solution

The fourth proportional to 34,491.88, 51,694.52 and 14,747.22 is: 22,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.88 : 51,694.52 = 14,747.22 : x
  2. Step 2: Convert to fraction form
    34,491.88/51,694.52 = 14,747.22/x
  3. Step 3: Cross multiply
    34,491.88x = 51,694.52 × 14,747.22
  4. Step 4: Simplify right side
    34,491.88x = 762,350,459.23
  5. Step 5: Solve for x
    x = 762,350,459.23/34,491.88
  6. Step 6: Final answer
    x = 22,102.32

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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.