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Finding the Fourth Proportional to 61,147.91, 91,712.05 and 16,764.37

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Solution

The fourth proportional to 61,147.91, 91,712.05 and 16,764.37 is: 25,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,147.91 : 91,712.05 = 16,764.37 : x
  2. Step 2: Convert to fraction form
    61,147.91/91,712.05 = 16,764.37/x
  3. Step 3: Cross multiply
    61,147.91x = 91,712.05 × 16,764.37
  4. Step 4: Simplify right side
    61,147.91x = 1,537,494,468.47
  5. Step 5: Solve for x
    x = 1,537,494,468.47/61,147.91
  6. Step 6: Final answer
    x = 25,143.86

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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.