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Finding the Fourth Proportional to 50,201, 69,277.38 and 27,845

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Solution

The fourth proportional to 50,201, 69,277.38 and 27,845 is: 38,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201 : 69,277.38 = 27,845 : x
  2. Step 2: Convert to fraction form
    50,201/69,277.38 = 27,845/x
  3. Step 3: Cross multiply
    50,201x = 69,277.38 × 27,845
  4. Step 4: Simplify right side
    50,201x = 1,929,028,646.10
  5. Step 5: Solve for x
    x = 1,929,028,646.10/50,201
  6. Step 6: Final answer
    x = 38,426.10

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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.