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Finding the Fourth Proportional to 110,578.76, 165,868.30 and 33,642.42

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Solution

The fourth proportional to 110,578.76, 165,868.30 and 33,642.42 is: 50,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,578.76 : 165,868.30 = 33,642.42 : x
  2. Step 2: Convert to fraction form
    110,578.76/165,868.30 = 33,642.42/x
  3. Step 3: Cross multiply
    110,578.76x = 165,868.30 × 33,642.42
  4. Step 4: Simplify right side
    110,578.76x = 5,580,211,013.29
  5. Step 5: Solve for x
    x = 5,580,211,013.29/110,578.76
  6. Step 6: Final answer
    x = 50,463.68

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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.