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Finding the Fourth Proportional to 50,147.64, 69,202.80 and 27,486

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Solution

The fourth proportional to 50,147.64, 69,202.80 and 27,486 is: 37,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147.64 : 69,202.80 = 27,486 : x
  2. Step 2: Convert to fraction form
    50,147.64/69,202.80 = 27,486/x
  3. Step 3: Cross multiply
    50,147.64x = 69,202.80 × 27,486
  4. Step 4: Simplify right side
    50,147.64x = 1,902,108,160.80
  5. Step 5: Solve for x
    x = 1,902,108,160.80/50,147.64
  6. Step 6: Final answer
    x = 37,930.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.