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Finding the Fourth Proportional to 50,009.80, 74,957.10 and 20,408.20

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Solution

The fourth proportional to 50,009.80, 74,957.10 and 20,408.20 is: 30,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,009.80 : 74,957.10 = 20,408.20 : x
  2. Step 2: Convert to fraction form
    50,009.80/74,957.10 = 20,408.20/x
  3. Step 3: Cross multiply
    50,009.80x = 74,957.10 × 20,408.20
  4. Step 4: Simplify right side
    50,009.80x = 1,529,739,488.22
  5. Step 5: Solve for x
    x = 1,529,739,488.22/50,009.80
  6. Step 6: Final answer
    x = 30,588.79

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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.