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Finding the Fourth Proportional to 57,743.74, 86,608.41 and 16,193.98

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Solution

The fourth proportional to 57,743.74, 86,608.41 and 16,193.98 is: 24,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,743.74 : 86,608.41 = 16,193.98 : x
  2. Step 2: Convert to fraction form
    57,743.74/86,608.41 = 16,193.98/x
  3. Step 3: Cross multiply
    57,743.74x = 86,608.41 × 16,193.98
  4. Step 4: Simplify right side
    57,743.74x = 1,402,534,859.37
  5. Step 5: Solve for x
    x = 1,402,534,859.37/57,743.74
  6. Step 6: Final answer
    x = 24,288.95

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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.