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Finding the Fourth Proportional to 112,709.56, 169,092.46 and 33,825.24

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Solution

The fourth proportional to 112,709.56, 169,092.46 and 33,825.24 is: 50,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,709.56 : 169,092.46 = 33,825.24 : x
  2. Step 2: Convert to fraction form
    112,709.56/169,092.46 = 33,825.24/x
  3. Step 3: Cross multiply
    112,709.56x = 169,092.46 × 33,825.24
  4. Step 4: Simplify right side
    112,709.56x = 5,719,593,041.69
  5. Step 5: Solve for x
    x = 5,719,593,041.69/112,709.56
  6. Step 6: Final answer
    x = 50,746.30

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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.