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Finding the Fourth Proportional to 61,255.20, 84,525.60 and 34,400.64

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Solution

The fourth proportional to 61,255.20, 84,525.60 and 34,400.64 is: 47,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,255.20 : 84,525.60 = 34,400.64 : x
  2. Step 2: Convert to fraction form
    61,255.20/84,525.60 = 34,400.64/x
  3. Step 3: Cross multiply
    61,255.20x = 84,525.60 × 34,400.64
  4. Step 4: Simplify right side
    61,255.20x = 2,907,734,736.38
  5. Step 5: Solve for x
    x = 2,907,734,736.38/61,255.20
  6. Step 6: Final answer
    x = 47,469.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.