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Finding the Fourth Proportional to 50,657.67, 69,907.19 and 27,998.19

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Solution

The fourth proportional to 50,657.67, 69,907.19 and 27,998.19 is: 38,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,657.67 : 69,907.19 = 27,998.19 : x
  2. Step 2: Convert to fraction form
    50,657.67/69,907.19 = 27,998.19/x
  3. Step 3: Cross multiply
    50,657.67x = 69,907.19 × 27,998.19
  4. Step 4: Simplify right side
    50,657.67x = 1,957,274,648.00
  5. Step 5: Solve for x
    x = 1,957,274,648.00/50,657.67
  6. Step 6: Final answer
    x = 38,637.28

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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.