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Finding the Fourth Proportional to 33,166.42, 45,769.38 and 18,829

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Solution

The fourth proportional to 33,166.42, 45,769.38 and 18,829 is: 25,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.42 : 45,769.38 = 18,829 : x
  2. Step 2: Convert to fraction form
    33,166.42/45,769.38 = 18,829/x
  3. Step 3: Cross multiply
    33,166.42x = 45,769.38 × 18,829
  4. Step 4: Simplify right side
    33,166.42x = 861,791,656.02
  5. Step 5: Solve for x
    x = 861,791,656.02/33,166.42
  6. Step 6: Final answer
    x = 25,983.86

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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.