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Finding the Fourth Proportional to 57,202, 85,828.92 and 27,614.32

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Solution

The fourth proportional to 57,202, 85,828.92 and 27,614.32 is: 41,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202 : 85,828.92 = 27,614.32 : x
  2. Step 2: Convert to fraction form
    57,202/85,828.92 = 27,614.32/x
  3. Step 3: Cross multiply
    57,202x = 85,828.92 × 27,614.32
  4. Step 4: Simplify right side
    57,202x = 2,370,107,262.13
  5. Step 5: Solve for x
    x = 2,370,107,262.13/57,202
  6. Step 6: Final answer
    x = 41,433.99

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