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Finding the Fourth Proportional to 34,912.70, 48,184.47 and 19,809.11

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Solution

The fourth proportional to 34,912.70, 48,184.47 and 19,809.11 is: 27,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912.70 : 48,184.47 = 19,809.11 : x
  2. Step 2: Convert to fraction form
    34,912.70/48,184.47 = 19,809.11/x
  3. Step 3: Cross multiply
    34,912.70x = 48,184.47 × 19,809.11
  4. Step 4: Simplify right side
    34,912.70x = 954,491,466.52
  5. Step 5: Solve for x
    x = 954,491,466.52/34,912.70
  6. Step 6: Final answer
    x = 27,339.38

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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.