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Finding the Fourth Proportional to 50,649.32, 75,974.02 and 13,209.30

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Solution

The fourth proportional to 50,649.32, 75,974.02 and 13,209.30 is: 19,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649.32 : 75,974.02 = 13,209.30 : x
  2. Step 2: Convert to fraction form
    50,649.32/75,974.02 = 13,209.30/x
  3. Step 3: Cross multiply
    50,649.32x = 75,974.02 × 13,209.30
  4. Step 4: Simplify right side
    50,649.32x = 1,003,563,589.36
  5. Step 5: Solve for x
    x = 1,003,563,589.36/50,649.32
  6. Step 6: Final answer
    x = 19,813.96

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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.