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Finding the Fourth Proportional to 50,090.38, 69,126.88 and 27,734.38

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Solution

The fourth proportional to 50,090.38, 69,126.88 and 27,734.38 is: 38,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,090.38 : 69,126.88 = 27,734.38 : x
  2. Step 2: Convert to fraction form
    50,090.38/69,126.88 = 27,734.38/x
  3. Step 3: Cross multiply
    50,090.38x = 69,126.88 × 27,734.38
  4. Step 4: Simplify right side
    50,090.38x = 1,917,191,158.13
  5. Step 5: Solve for x
    x = 1,917,191,158.13/50,090.38
  6. Step 6: Final answer
    x = 38,274.64

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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.