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Finding the Fourth Proportional to 34,166.52, 51,249.80 and 9,542.52

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Solution

The fourth proportional to 34,166.52, 51,249.80 and 9,542.52 is: 14,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166.52 : 51,249.80 = 9,542.52 : x
  2. Step 2: Convert to fraction form
    34,166.52/51,249.80 = 9,542.52/x
  3. Step 3: Cross multiply
    34,166.52x = 51,249.80 × 9,542.52
  4. Step 4: Simplify right side
    34,166.52x = 489,052,241.50
  5. Step 5: Solve for x
    x = 489,052,241.50/34,166.52
  6. Step 6: Final answer
    x = 14,313.79

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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.