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Finding the Fourth Proportional to 33,803.91, 50,602.06 and 21,265.22

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Solution

The fourth proportional to 33,803.91, 50,602.06 and 21,265.22 is: 31,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,803.91 : 50,602.06 = 21,265.22 : x
  2. Step 2: Convert to fraction form
    33,803.91/50,602.06 = 21,265.22/x
  3. Step 3: Cross multiply
    33,803.91x = 50,602.06 × 21,265.22
  4. Step 4: Simplify right side
    33,803.91x = 1,076,064,091.44
  5. Step 5: Solve for x
    x = 1,076,064,091.44/33,803.91
  6. Step 6: Final answer
    x = 31,832.54

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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.