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Finding the Fourth Proportional to 110,620.16, 165,912 and 47,450.48

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Solution

The fourth proportional to 110,620.16, 165,912 and 47,450.48 is: 71,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,620.16 : 165,912 = 47,450.48 : x
  2. Step 2: Convert to fraction form
    110,620.16/165,912 = 47,450.48/x
  3. Step 3: Cross multiply
    110,620.16x = 165,912 × 47,450.48
  4. Step 4: Simplify right side
    110,620.16x = 7,872,604,037.76
  5. Step 5: Solve for x
    x = 7,872,604,037.76/110,620.16
  6. Step 6: Final answer
    x = 71,167.90

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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.