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Finding the Fourth Proportional to 50,146, 69,201.48 and 27,791.44

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Solution

The fourth proportional to 50,146, 69,201.48 and 27,791.44 is: 38,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,146 : 69,201.48 = 27,791.44 : x
  2. Step 2: Convert to fraction form
    50,146/69,201.48 = 27,791.44/x
  3. Step 3: Cross multiply
    50,146x = 69,201.48 × 27,791.44
  4. Step 4: Simplify right side
    50,146x = 1,923,208,779.33
  5. Step 5: Solve for x
    x = 1,923,208,779.33/50,146
  6. Step 6: Final answer
    x = 38,352.19

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1.5x scale

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.