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Finding the Fourth Proportional to 57,357, 79,165.31 and 31,872.11

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Solution

The fourth proportional to 57,357, 79,165.31 and 31,872.11 is: 43,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357 : 79,165.31 = 31,872.11 : x
  2. Step 2: Convert to fraction form
    57,357/79,165.31 = 31,872.11/x
  3. Step 3: Cross multiply
    57,357x = 79,165.31 × 31,872.11
  4. Step 4: Simplify right side
    57,357x = 2,523,164,913.32
  5. Step 5: Solve for x
    x = 2,523,164,913.32/57,357
  6. Step 6: Final answer
    x = 43,990.53

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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.