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Finding the Fourth Proportional to 34,340.72, 47,391.36 and 20,194.88

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Solution

The fourth proportional to 34,340.72, 47,391.36 and 20,194.88 is: 27,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,340.72 : 47,391.36 = 20,194.88 : x
  2. Step 2: Convert to fraction form
    34,340.72/47,391.36 = 20,194.88/x
  3. Step 3: Cross multiply
    34,340.72x = 47,391.36 × 20,194.88
  4. Step 4: Simplify right side
    34,340.72x = 957,062,828.24
  5. Step 5: Solve for x
    x = 957,062,828.24/34,340.72
  6. Step 6: Final answer
    x = 27,869.62

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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.