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Finding the Fourth Proportional to 34,162.35, 47,144.31 and 19,055.97

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Solution

The fourth proportional to 34,162.35, 47,144.31 and 19,055.97 is: 26,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.35 : 47,144.31 = 19,055.97 : x
  2. Step 2: Convert to fraction form
    34,162.35/47,144.31 = 19,055.97/x
  3. Step 3: Cross multiply
    34,162.35x = 47,144.31 × 19,055.97
  4. Step 4: Simplify right side
    34,162.35x = 898,380,557.03
  5. Step 5: Solve for x
    x = 898,380,557.03/34,162.35
  6. Step 6: Final answer
    x = 26,297.39

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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.