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Finding the Fourth Proportional to 50,089, 69,122.82 and 27,734.44

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Solution

The fourth proportional to 50,089, 69,122.82 and 27,734.44 is: 38,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,089 : 69,122.82 = 27,734.44 : x
  2. Step 2: Convert to fraction form
    50,089/69,122.82 = 27,734.44/x
  3. Step 3: Cross multiply
    50,089x = 69,122.82 × 27,734.44
  4. Step 4: Simplify right side
    50,089x = 1,917,082,703.92
  5. Step 5: Solve for x
    x = 1,917,082,703.92/50,089
  6. Step 6: Final answer
    x = 38,273.53

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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.