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Finding the Fourth Proportional to 33,997.02, 50,996 and 9,036.94

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Solution

The fourth proportional to 33,997.02, 50,996 and 9,036.94 is: 13,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.02 : 50,996 = 9,036.94 : x
  2. Step 2: Convert to fraction form
    33,997.02/50,996 = 9,036.94/x
  3. Step 3: Cross multiply
    33,997.02x = 50,996 × 9,036.94
  4. Step 4: Simplify right side
    33,997.02x = 460,847,792.24
  5. Step 5: Solve for x
    x = 460,847,792.24/33,997.02
  6. Step 6: Final answer
    x = 13,555.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.