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Finding the Fourth Proportional to 110,734.80, 166,069.80 and 39,649.20

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Solution

The fourth proportional to 110,734.80, 166,069.80 and 39,649.20 is: 59,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,734.80 : 166,069.80 = 39,649.20 : x
  2. Step 2: Convert to fraction form
    110,734.80/166,069.80 = 39,649.20/x
  3. Step 3: Cross multiply
    110,734.80x = 166,069.80 × 39,649.20
  4. Step 4: Simplify right side
    110,734.80x = 6,584,534,714.16
  5. Step 5: Solve for x
    x = 6,584,534,714.16/110,734.80
  6. Step 6: Final answer
    x = 59,462.20

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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.