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Finding the Fourth Proportional to 57,682, 79,601.16 and 31,186

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Solution

The fourth proportional to 57,682, 79,601.16 and 31,186 is: 43,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682 : 79,601.16 = 31,186 : x
  2. Step 2: Convert to fraction form
    57,682/79,601.16 = 31,186/x
  3. Step 3: Cross multiply
    57,682x = 79,601.16 × 31,186
  4. Step 4: Simplify right side
    57,682x = 2,482,441,775.76
  5. Step 5: Solve for x
    x = 2,482,441,775.76/57,682
  6. Step 6: Final answer
    x = 43,036.68

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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.