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Finding the Fourth Proportional to 36,493, 50,360.40 and 19,726

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Solution

The fourth proportional to 36,493, 50,360.40 and 19,726 is: 27,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493 : 50,360.40 = 19,726 : x
  2. Step 2: Convert to fraction form
    36,493/50,360.40 = 19,726/x
  3. Step 3: Cross multiply
    36,493x = 50,360.40 × 19,726
  4. Step 4: Simplify right side
    36,493x = 993,409,250.40
  5. Step 5: Solve for x
    x = 993,409,250.40/36,493
  6. Step 6: Final answer
    x = 27,221.91

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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.