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Finding the Fourth Proportional to 50,549.56, 75,839.72 and 23,916

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Solution

The fourth proportional to 50,549.56, 75,839.72 and 23,916 is: 35,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.56 : 75,839.72 = 23,916 : x
  2. Step 2: Convert to fraction form
    50,549.56/75,839.72 = 23,916/x
  3. Step 3: Cross multiply
    50,549.56x = 75,839.72 × 23,916
  4. Step 4: Simplify right side
    50,549.56x = 1,813,782,743.52
  5. Step 5: Solve for x
    x = 1,813,782,743.52/50,549.56
  6. Step 6: Final answer
    x = 35,881.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.