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Finding the Fourth Proportional to 106,049.80, 159,080.58 and 34,969.57

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Solution

The fourth proportional to 106,049.80, 159,080.58 and 34,969.57 is: 52,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.80 : 159,080.58 = 34,969.57 : x
  2. Step 2: Convert to fraction form
    106,049.80/159,080.58 = 34,969.57/x
  3. Step 3: Cross multiply
    106,049.80x = 159,080.58 × 34,969.57
  4. Step 4: Simplify right side
    106,049.80x = 5,562,979,080.25
  5. Step 5: Solve for x
    x = 5,562,979,080.25/106,049.80
  6. Step 6: Final answer
    x = 52,456.29

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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.