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Finding the Fourth Proportional to 36,534.25, 50,417.31 and 19,767.25

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Solution

The fourth proportional to 36,534.25, 50,417.31 and 19,767.25 is: 27,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534.25 : 50,417.31 = 19,767.25 : x
  2. Step 2: Convert to fraction form
    36,534.25/50,417.31 = 19,767.25/x
  3. Step 3: Cross multiply
    36,534.25x = 50,417.31 × 19,767.25
  4. Step 4: Simplify right side
    36,534.25x = 996,611,571.10
  5. Step 5: Solve for x
    x = 996,611,571.10/36,534.25
  6. Step 6: Final answer
    x = 27,278.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.