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Finding the Fourth Proportional to 109,696.26, 164,550.24 and 34,822.20

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Solution

The fourth proportional to 109,696.26, 164,550.24 and 34,822.20 is: 52,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,696.26 : 164,550.24 = 34,822.20 : x
  2. Step 2: Convert to fraction form
    109,696.26/164,550.24 = 34,822.20/x
  3. Step 3: Cross multiply
    109,696.26x = 164,550.24 × 34,822.20
  4. Step 4: Simplify right side
    109,696.26x = 5,730,001,367.33
  5. Step 5: Solve for x
    x = 5,730,001,367.33/109,696.26
  6. Step 6: Final answer
    x = 52,235.16

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1.5x scale

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.