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Finding the Fourth Proportional to 100,340.33, 150,509.48 and 33,780.02

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Solution

The fourth proportional to 100,340.33, 150,509.48 and 33,780.02 is: 50,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340.33 : 150,509.48 = 33,780.02 : x
  2. Step 2: Convert to fraction form
    100,340.33/150,509.48 = 33,780.02/x
  3. Step 3: Cross multiply
    100,340.33x = 150,509.48 × 33,780.02
  4. Step 4: Simplify right side
    100,340.33x = 5,084,212,323.14
  5. Step 5: Solve for x
    x = 5,084,212,323.14/100,340.33
  6. Step 6: Final answer
    x = 50,669.68

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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.