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Finding the Fourth Proportional to 50,649.60, 75,974.44 and 13,209.63

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Solution

The fourth proportional to 50,649.60, 75,974.44 and 13,209.63 is: 19,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649.60 : 75,974.44 = 13,209.63 : x
  2. Step 2: Convert to fraction form
    50,649.60/75,974.44 = 13,209.63/x
  3. Step 3: Cross multiply
    50,649.60x = 75,974.44 × 13,209.63
  4. Step 4: Simplify right side
    50,649.60x = 1,003,594,376.05
  5. Step 5: Solve for x
    x = 1,003,594,376.05/50,649.60
  6. Step 6: Final answer
    x = 19,814.46

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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.