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Finding the Fourth Proportional to 33,249.34, 45,880.80 and 23,199.38

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Solution

The fourth proportional to 33,249.34, 45,880.80 and 23,199.38 is: 32,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249.34 : 45,880.80 = 23,199.38 : x
  2. Step 2: Convert to fraction form
    33,249.34/45,880.80 = 23,199.38/x
  3. Step 3: Cross multiply
    33,249.34x = 45,880.80 × 23,199.38
  4. Step 4: Simplify right side
    33,249.34x = 1,064,406,113.90
  5. Step 5: Solve for x
    x = 1,064,406,113.90/33,249.34
  6. Step 6: Final answer
    x = 32,012.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.