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Finding the Fourth Proportional to 33,170, 45,774.92 and 18,266.32

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Solution

The fourth proportional to 33,170, 45,774.92 and 18,266.32 is: 25,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170 : 45,774.92 = 18,266.32 : x
  2. Step 2: Convert to fraction form
    33,170/45,774.92 = 18,266.32/x
  3. Step 3: Cross multiply
    33,170x = 45,774.92 × 18,266.32
  4. Step 4: Simplify right side
    33,170x = 836,139,336.69
  5. Step 5: Solve for x
    x = 836,139,336.69/33,170
  6. Step 6: Final answer
    x = 25,207.70

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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.