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Finding the Fourth Proportional to 50,615.83, 69,848.50 and 27,954.33

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Solution

The fourth proportional to 50,615.83, 69,848.50 and 27,954.33 is: 38,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,615.83 : 69,848.50 = 27,954.33 : x
  2. Step 2: Convert to fraction form
    50,615.83/69,848.50 = 27,954.33/x
  3. Step 3: Cross multiply
    50,615.83x = 69,848.50 × 27,954.33
  4. Step 4: Simplify right side
    50,615.83x = 1,952,568,019.01
  5. Step 5: Solve for x
    x = 1,952,568,019.01/50,615.83
  6. Step 6: Final answer
    x = 38,576.24

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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.