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Finding the Fourth Proportional to 110,586.80, 165,847.80 and 51,408.20

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Solution

The fourth proportional to 110,586.80, 165,847.80 and 51,408.20 is: 77,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,586.80 : 165,847.80 = 51,408.20 : x
  2. Step 2: Convert to fraction form
    110,586.80/165,847.80 = 51,408.20/x
  3. Step 3: Cross multiply
    110,586.80x = 165,847.80 × 51,408.20
  4. Step 4: Simplify right side
    110,586.80x = 8,525,936,871.96
  5. Step 5: Solve for x
    x = 8,525,936,871.96/110,586.80
  6. Step 6: Final answer
    x = 77,097.24

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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.