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Finding the Fourth Proportional to 127,279.68, 190,919.52 and 33,783

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Solution

The fourth proportional to 127,279.68, 190,919.52 and 33,783 is: 50,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,279.68 : 190,919.52 = 33,783 : x
  2. Step 2: Convert to fraction form
    127,279.68/190,919.52 = 33,783/x
  3. Step 3: Cross multiply
    127,279.68x = 190,919.52 × 33,783
  4. Step 4: Simplify right side
    127,279.68x = 6,449,834,144.16
  5. Step 5: Solve for x
    x = 6,449,834,144.16/127,279.68
  6. Step 6: Final answer
    x = 50,674.50

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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.