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Finding the Fourth Proportional to 33,965.40, 50,943.62 and 9,006.90

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Solution

The fourth proportional to 33,965.40, 50,943.62 and 9,006.90 is: 13,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,965.40 : 50,943.62 = 9,006.90 : x
  2. Step 2: Convert to fraction form
    33,965.40/50,943.62 = 9,006.90/x
  3. Step 3: Cross multiply
    33,965.40x = 50,943.62 × 9,006.90
  4. Step 4: Simplify right side
    33,965.40x = 458,844,090.98
  5. Step 5: Solve for x
    x = 458,844,090.98/33,965.40
  6. Step 6: Final answer
    x = 13,509.16

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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.