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Finding the Fourth Proportional to 33,415.18, 50,130 and 10,043.44

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Solution

The fourth proportional to 33,415.18, 50,130 and 10,043.44 is: 15,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.18 : 50,130 = 10,043.44 : x
  2. Step 2: Convert to fraction form
    33,415.18/50,130 = 10,043.44/x
  3. Step 3: Cross multiply
    33,415.18x = 50,130 × 10,043.44
  4. Step 4: Simplify right side
    33,415.18x = 503,477,647.20
  5. Step 5: Solve for x
    x = 503,477,647.20/33,415.18
  6. Step 6: Final answer
    x = 15,067.33

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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.