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Finding the Fourth Proportional to 34,197.84, 47,196.96 and 20,772.48

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Solution

The fourth proportional to 34,197.84, 47,196.96 and 20,772.48 is: 28,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197.84 : 47,196.96 = 20,772.48 : x
  2. Step 2: Convert to fraction form
    34,197.84/47,196.96 = 20,772.48/x
  3. Step 3: Cross multiply
    34,197.84x = 47,196.96 × 20,772.48
  4. Step 4: Simplify right side
    34,197.84x = 980,397,907.66
  5. Step 5: Solve for x
    x = 980,397,907.66/34,197.84
  6. Step 6: Final answer
    x = 28,668.42

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