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Finding the Fourth Proportional to 100,712.96, 151,074.96 and 33,242.24

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Solution

The fourth proportional to 100,712.96, 151,074.96 and 33,242.24 is: 49,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.96 : 151,074.96 = 33,242.24 : x
  2. Step 2: Convert to fraction form
    100,712.96/151,074.96 = 33,242.24/x
  3. Step 3: Cross multiply
    100,712.96x = 151,074.96 × 33,242.24
  4. Step 4: Simplify right side
    100,712.96x = 5,022,070,078.31
  5. Step 5: Solve for x
    x = 5,022,070,078.31/100,712.96
  6. Step 6: Final answer
    x = 49,865.18

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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.