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Finding the Fourth Proportional to 57,771.72, 79,738.02 and 36,577.80

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Solution

The fourth proportional to 57,771.72, 79,738.02 and 36,577.80 is: 50,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771.72 : 79,738.02 = 36,577.80 : x
  2. Step 2: Convert to fraction form
    57,771.72/79,738.02 = 36,577.80/x
  3. Step 3: Cross multiply
    57,771.72x = 79,738.02 × 36,577.80
  4. Step 4: Simplify right side
    57,771.72x = 2,916,641,347.96
  5. Step 5: Solve for x
    x = 2,916,641,347.96/57,771.72
  6. Step 6: Final answer
    x = 50,485.62

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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.