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Finding the Fourth Proportional to 50,631, 69,870.49 and 27,971.55

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Solution

The fourth proportional to 50,631, 69,870.49 and 27,971.55 is: 38,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,631 : 69,870.49 = 27,971.55 : x
  2. Step 2: Convert to fraction form
    50,631/69,870.49 = 27,971.55/x
  3. Step 3: Cross multiply
    50,631x = 69,870.49 × 27,971.55
  4. Step 4: Simplify right side
    50,631x = 1,954,385,904.56
  5. Step 5: Solve for x
    x = 1,954,385,904.56/50,631
  6. Step 6: Final answer
    x = 38,600.58

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