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Finding the Fourth Proportional to 50,683.58, 69,943.55 and 27,713.88

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Solution

The fourth proportional to 50,683.58, 69,943.55 and 27,713.88 is: 38,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,683.58 : 69,943.55 = 27,713.88 : x
  2. Step 2: Convert to fraction form
    50,683.58/69,943.55 = 27,713.88/x
  3. Step 3: Cross multiply
    50,683.58x = 69,943.55 × 27,713.88
  4. Step 4: Simplify right side
    50,683.58x = 1,938,407,168.80
  5. Step 5: Solve for x
    x = 1,938,407,168.80/50,683.58
  6. Step 6: Final answer
    x = 38,245.27

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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.