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Finding the Fourth Proportional to 110,525.98, 165,821.31 and 35,644.62

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Solution

The fourth proportional to 110,525.98, 165,821.31 and 35,644.62 is: 53,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,525.98 : 165,821.31 = 35,644.62 : x
  2. Step 2: Convert to fraction form
    110,525.98/165,821.31 = 35,644.62/x
  3. Step 3: Cross multiply
    110,525.98x = 165,821.31 × 35,644.62
  4. Step 4: Simplify right side
    110,525.98x = 5,910,637,582.85
  5. Step 5: Solve for x
    x = 5,910,637,582.85/110,525.98
  6. Step 6: Final answer
    x = 53,477.36

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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.