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Finding the Fourth Proportional to 50,382.18, 75,505.19 and 19,200.42

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Solution

The fourth proportional to 50,382.18, 75,505.19 and 19,200.42 is: 28,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382.18 : 75,505.19 = 19,200.42 : x
  2. Step 2: Convert to fraction form
    50,382.18/75,505.19 = 19,200.42/x
  3. Step 3: Cross multiply
    50,382.18x = 75,505.19 × 19,200.42
  4. Step 4: Simplify right side
    50,382.18x = 1,449,731,264.18
  5. Step 5: Solve for x
    x = 1,449,731,264.18/50,382.18
  6. Step 6: Final answer
    x = 28,774.68

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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.