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Finding the Fourth Proportional to 72,238.88, 108,363.18 and 27,866

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Solution

The fourth proportional to 72,238.88, 108,363.18 and 27,866 is: 41,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,238.88 : 108,363.18 = 27,866 : x
  2. Step 2: Convert to fraction form
    72,238.88/108,363.18 = 27,866/x
  3. Step 3: Cross multiply
    72,238.88x = 108,363.18 × 27,866
  4. Step 4: Simplify right side
    72,238.88x = 3,019,648,373.88
  5. Step 5: Solve for x
    x = 3,019,648,373.88/72,238.88
  6. Step 6: Final answer
    x = 41,800.87

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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.