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Finding the Fourth Proportional to 50,223, 69,309.90 and 27,867

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Solution

The fourth proportional to 50,223, 69,309.90 and 27,867 is: 38,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223 : 69,309.90 = 27,867 : x
  2. Step 2: Convert to fraction form
    50,223/69,309.90 = 27,867/x
  3. Step 3: Cross multiply
    50,223x = 69,309.90 × 27,867
  4. Step 4: Simplify right side
    50,223x = 1,931,458,983.30
  5. Step 5: Solve for x
    x = 1,931,458,983.30/50,223
  6. Step 6: Final answer
    x = 38,457.66

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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.