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Finding the Fourth Proportional to 50,493.92, 75,742.16 and 20,903.81

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Solution

The fourth proportional to 50,493.92, 75,742.16 and 20,903.81 is: 31,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.92 : 75,742.16 = 20,903.81 : x
  2. Step 2: Convert to fraction form
    50,493.92/75,742.16 = 20,903.81/x
  3. Step 3: Cross multiply
    50,493.92x = 75,742.16 × 20,903.81
  4. Step 4: Simplify right side
    50,493.92x = 1,583,299,238.40
  5. Step 5: Solve for x
    x = 1,583,299,238.40/50,493.92
  6. Step 6: Final answer
    x = 31,356.24

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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.