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Finding the Fourth Proportional to 27,981.40, 41,972.10 and 24,336.40

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Solution

The fourth proportional to 27,981.40, 41,972.10 and 24,336.40 is: 36,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.40 : 41,972.10 = 24,336.40 : x
  2. Step 2: Convert to fraction form
    27,981.40/41,972.10 = 24,336.40/x
  3. Step 3: Cross multiply
    27,981.40x = 41,972.10 × 24,336.40
  4. Step 4: Simplify right side
    27,981.40x = 1,021,449,814.44
  5. Step 5: Solve for x
    x = 1,021,449,814.44/27,981.40
  6. Step 6: Final answer
    x = 36,504.60

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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.