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Finding the Fourth Proportional to 110,522.97, 165,816.80 and 35,641.62

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Solution

The fourth proportional to 110,522.97, 165,816.80 and 35,641.62 is: 53,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,522.97 : 165,816.80 = 35,641.62 : x
  2. Step 2: Convert to fraction form
    110,522.97/165,816.80 = 35,641.62/x
  3. Step 3: Cross multiply
    110,522.97x = 165,816.80 × 35,641.62
  4. Step 4: Simplify right side
    110,522.97x = 5,909,978,635.24
  5. Step 5: Solve for x
    x = 5,909,978,635.24/110,522.97
  6. Step 6: Final answer
    x = 53,472.85

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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.