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Finding the Fourth Proportional to 27,825.20, 41,737.80 and 24,369.20

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Solution

The fourth proportional to 27,825.20, 41,737.80 and 24,369.20 is: 36,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.20 : 41,737.80 = 24,369.20 : x
  2. Step 2: Convert to fraction form
    27,825.20/41,737.80 = 24,369.20/x
  3. Step 3: Cross multiply
    27,825.20x = 41,737.80 × 24,369.20
  4. Step 4: Simplify right side
    27,825.20x = 1,017,116,795.76
  5. Step 5: Solve for x
    x = 1,017,116,795.76/27,825.20
  6. Step 6: Final answer
    x = 36,553.80

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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.