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Finding the Fourth Proportional to 37,157.62, 55,723.47 and 16,369.78

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Solution

The fourth proportional to 37,157.62, 55,723.47 and 16,369.78 is: 24,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,157.62 : 55,723.47 = 16,369.78 : x
  2. Step 2: Convert to fraction form
    37,157.62/55,723.47 = 16,369.78/x
  3. Step 3: Cross multiply
    37,157.62x = 55,723.47 × 16,369.78
  4. Step 4: Simplify right side
    37,157.62x = 912,180,944.74
  5. Step 5: Solve for x
    x = 912,180,944.74/37,157.62
  6. Step 6: Final answer
    x = 24,548.96

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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.