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Finding the Fourth Proportional to 50,204.61, 75,281.81 and 20,614.50

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Solution

The fourth proportional to 50,204.61, 75,281.81 and 20,614.50 is: 30,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.61 : 75,281.81 = 20,614.50 : x
  2. Step 2: Convert to fraction form
    50,204.61/75,281.81 = 20,614.50/x
  3. Step 3: Cross multiply
    50,204.61x = 75,281.81 × 20,614.50
  4. Step 4: Simplify right side
    50,204.61x = 1,551,896,769.17
  5. Step 5: Solve for x
    x = 1,551,896,769.17/50,204.61
  6. Step 6: Final answer
    x = 30,911.44

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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.