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Finding the Fourth Proportional to 34,358.29, 51,537.44 and 12,166.36

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Solution

The fourth proportional to 34,358.29, 51,537.44 and 12,166.36 is: 18,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358.29 : 51,537.44 = 12,166.36 : x
  2. Step 2: Convert to fraction form
    34,358.29/51,537.44 = 12,166.36/x
  3. Step 3: Cross multiply
    34,358.29x = 51,537.44 × 12,166.36
  4. Step 4: Simplify right side
    34,358.29x = 627,023,048.52
  5. Step 5: Solve for x
    x = 627,023,048.52/34,358.29
  6. Step 6: Final answer
    x = 18,249.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.