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Finding the Fourth Proportional to 109,682.10, 164,523.15 and 43,100.10

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Solution

The fourth proportional to 109,682.10, 164,523.15 and 43,100.10 is: 64,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,682.10 : 164,523.15 = 43,100.10 : x
  2. Step 2: Convert to fraction form
    109,682.10/164,523.15 = 43,100.10/x
  3. Step 3: Cross multiply
    109,682.10x = 164,523.15 × 43,100.10
  4. Step 4: Simplify right side
    109,682.10x = 7,090,964,217.32
  5. Step 5: Solve for x
    x = 7,090,964,217.32/109,682.10
  6. Step 6: Final answer
    x = 64,650.15

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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.