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Finding the Fourth Proportional to 50,133.60, 75,200.49 and 20,546.14

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Solution

The fourth proportional to 50,133.60, 75,200.49 and 20,546.14 is: 30,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133.60 : 75,200.49 = 20,546.14 : x
  2. Step 2: Convert to fraction form
    50,133.60/75,200.49 = 20,546.14/x
  3. Step 3: Cross multiply
    50,133.60x = 75,200.49 × 20,546.14
  4. Step 4: Simplify right side
    50,133.60x = 1,545,079,795.61
  5. Step 5: Solve for x
    x = 1,545,079,795.61/50,133.60
  6. Step 6: Final answer
    x = 30,819.25

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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.