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Finding the Fourth Proportional to 50,172.56, 69,238.96 and 27,513.72

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Solution

The fourth proportional to 50,172.56, 69,238.96 and 27,513.72 is: 37,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172.56 : 69,238.96 = 27,513.72 : x
  2. Step 2: Convert to fraction form
    50,172.56/69,238.96 = 27,513.72/x
  3. Step 3: Cross multiply
    50,172.56x = 69,238.96 × 27,513.72
  4. Step 4: Simplify right side
    50,172.56x = 1,905,021,358.53
  5. Step 5: Solve for x
    x = 1,905,021,358.53/50,172.56
  6. Step 6: Final answer
    x = 37,969.39

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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.