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Finding the Fourth Proportional to 27,878.42, 41,816.16 and 20,389.70

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Solution

The fourth proportional to 27,878.42, 41,816.16 and 20,389.70 is: 30,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.42 : 41,816.16 = 20,389.70 : x
  2. Step 2: Convert to fraction form
    27,878.42/41,816.16 = 20,389.70/x
  3. Step 3: Cross multiply
    27,878.42x = 41,816.16 × 20,389.70
  4. Step 4: Simplify right side
    27,878.42x = 852,618,957.55
  5. Step 5: Solve for x
    x = 852,618,957.55/27,878.42
  6. Step 6: Final answer
    x = 30,583.47

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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.