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Finding the Fourth Proportional to 57,892.55, 86,828.49 and 31,226.13

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Solution

The fourth proportional to 57,892.55, 86,828.49 and 31,226.13 is: 46,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,892.55 : 86,828.49 = 31,226.13 : x
  2. Step 2: Convert to fraction form
    57,892.55/86,828.49 = 31,226.13/x
  3. Step 3: Cross multiply
    57,892.55x = 86,828.49 × 31,226.13
  4. Step 4: Simplify right side
    57,892.55x = 2,711,317,716.44
  5. Step 5: Solve for x
    x = 2,711,317,716.44/57,892.55
  6. Step 6: Final answer
    x = 46,833.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.