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Finding the Fourth Proportional to 50,493.13, 75,774.67 and 20,095.13

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Solution

The fourth proportional to 50,493.13, 75,774.67 and 20,095.13 is: 30,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.13 : 75,774.67 = 20,095.13 : x
  2. Step 2: Convert to fraction form
    50,493.13/75,774.67 = 20,095.13/x
  3. Step 3: Cross multiply
    50,493.13x = 75,774.67 × 20,095.13
  4. Step 4: Simplify right side
    50,493.13x = 1,522,701,983.56
  5. Step 5: Solve for x
    x = 1,522,701,983.56/50,493.13
  6. Step 6: Final answer
    x = 30,156.62

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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.