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Finding the Fourth Proportional to 109,633.60, 164,466.60 and 34,760.80

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Solution

The fourth proportional to 109,633.60, 164,466.60 and 34,760.80 is: 52,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,633.60 : 164,466.60 = 34,760.80 : x
  2. Step 2: Convert to fraction form
    109,633.60/164,466.60 = 34,760.80/x
  3. Step 3: Cross multiply
    109,633.60x = 164,466.60 × 34,760.80
  4. Step 4: Simplify right side
    109,633.60x = 5,716,990,589.28
  5. Step 5: Solve for x
    x = 5,716,990,589.28/109,633.60
  6. Step 6: Final answer
    x = 52,146.34

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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.