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Finding the Fourth Proportional to 100,709.96, 151,070.46 and 33,239.24

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Solution

The fourth proportional to 100,709.96, 151,070.46 and 33,239.24 is: 49,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,709.96 : 151,070.46 = 33,239.24 : x
  2. Step 2: Convert to fraction form
    100,709.96/151,070.46 = 33,239.24/x
  3. Step 3: Cross multiply
    100,709.96x = 151,070.46 × 33,239.24
  4. Step 4: Simplify right side
    100,709.96x = 5,021,467,276.85
  5. Step 5: Solve for x
    x = 5,021,467,276.85/100,709.96
  6. Step 6: Final answer
    x = 49,860.68

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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.