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Finding the Fourth Proportional to 34,155.41, 47,134.38 and 19,048.09

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Solution

The fourth proportional to 34,155.41, 47,134.38 and 19,048.09 is: 26,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,155.41 : 47,134.38 = 19,048.09 : x
  2. Step 2: Convert to fraction form
    34,155.41/47,134.38 = 19,048.09/x
  3. Step 3: Cross multiply
    34,155.41x = 47,134.38 × 19,048.09
  4. Step 4: Simplify right side
    34,155.41x = 897,819,912.33
  5. Step 5: Solve for x
    x = 897,819,912.33/34,155.41
  6. Step 6: Final answer
    x = 26,286.32

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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.