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Finding the Fourth Proportional to 50,091, 69,126.06 and 27,735.48

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Solution

The fourth proportional to 50,091, 69,126.06 and 27,735.48 is: 38,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,091 : 69,126.06 = 27,735.48 : x
  2. Step 2: Convert to fraction form
    50,091/69,126.06 = 27,735.48/x
  3. Step 3: Cross multiply
    50,091x = 69,126.06 × 27,735.48
  4. Step 4: Simplify right side
    50,091x = 1,917,244,454.61
  5. Step 5: Solve for x
    x = 1,917,244,454.61/50,091
  6. Step 6: Final answer
    x = 38,275.23

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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.