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Finding the Fourth Proportional to 57,778.41, 79,757.16 and 36,262.38

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Solution

The fourth proportional to 57,778.41, 79,757.16 and 36,262.38 is: 50,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778.41 : 79,757.16 = 36,262.38 : x
  2. Step 2: Convert to fraction form
    57,778.41/79,757.16 = 36,262.38/x
  3. Step 3: Cross multiply
    57,778.41x = 79,757.16 × 36,262.38
  4. Step 4: Simplify right side
    57,778.41x = 2,892,184,606.75
  5. Step 5: Solve for x
    x = 2,892,184,606.75/57,778.41
  6. Step 6: Final answer
    x = 50,056.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.