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Finding the Fourth Proportional to 57,682.50, 79,601.85 and 31,186.50

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Solution

The fourth proportional to 57,682.50, 79,601.85 and 31,186.50 is: 43,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.50 : 79,601.85 = 31,186.50 : x
  2. Step 2: Convert to fraction form
    57,682.50/79,601.85 = 31,186.50/x
  3. Step 3: Cross multiply
    57,682.50x = 79,601.85 × 31,186.50
  4. Step 4: Simplify right side
    57,682.50x = 2,482,503,095.03
  5. Step 5: Solve for x
    x = 2,482,503,095.03/57,682.50
  6. Step 6: Final answer
    x = 43,037.37

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