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Finding the Fourth Proportional to 50,549.64, 75,834.17 and 19,382.46

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Solution

The fourth proportional to 50,549.64, 75,834.17 and 19,382.46 is: 29,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.64 : 75,834.17 = 19,382.46 : x
  2. Step 2: Convert to fraction form
    50,549.64/75,834.17 = 19,382.46/x
  3. Step 3: Cross multiply
    50,549.64x = 75,834.17 × 19,382.46
  4. Step 4: Simplify right side
    50,549.64x = 1,469,852,766.66
  5. Step 5: Solve for x
    x = 1,469,852,766.66/50,549.64
  6. Step 6: Final answer
    x = 29,077.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.