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Finding the Fourth Proportional to 33,117.32, 45,701.90 and 18,213.32

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Solution

The fourth proportional to 33,117.32, 45,701.90 and 18,213.32 is: 25,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.32 : 45,701.90 = 18,213.32 : x
  2. Step 2: Convert to fraction form
    33,117.32/45,701.90 = 18,213.32/x
  3. Step 3: Cross multiply
    33,117.32x = 45,701.90 × 18,213.32
  4. Step 4: Simplify right side
    33,117.32x = 832,383,329.31
  5. Step 5: Solve for x
    x = 832,383,329.31/33,117.32
  6. Step 6: Final answer
    x = 25,134.38

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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.