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Finding the Fourth Proportional to 50,326, 69,452.76 and 27,977.20

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Solution

The fourth proportional to 50,326, 69,452.76 and 27,977.20 is: 38,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,326 : 69,452.76 = 27,977.20 : x
  2. Step 2: Convert to fraction form
    50,326/69,452.76 = 27,977.20/x
  3. Step 3: Cross multiply
    50,326x = 69,452.76 × 27,977.20
  4. Step 4: Simplify right side
    50,326x = 1,943,093,757.07
  5. Step 5: Solve for x
    x = 1,943,093,757.07/50,326
  6. Step 6: Final answer
    x = 38,610.14

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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.