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Finding the Fourth Proportional to 27,134.15, 40,652 and 20,035.96

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Solution

The fourth proportional to 27,134.15, 40,652 and 20,035.96 is: 30,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.15 : 40,652 = 20,035.96 : x
  2. Step 2: Convert to fraction form
    27,134.15/40,652 = 20,035.96/x
  3. Step 3: Cross multiply
    27,134.15x = 40,652 × 20,035.96
  4. Step 4: Simplify right side
    27,134.15x = 814,501,642.66
  5. Step 5: Solve for x
    x = 814,501,642.66/27,134.15
  6. Step 6: Final answer
    x = 30,017.59

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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.