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Finding the Fourth Proportional to 127,184.25, 190,780.02 and 33,690

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Solution

The fourth proportional to 127,184.25, 190,780.02 and 33,690 is: 50,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,184.25 : 190,780.02 = 33,690 : x
  2. Step 2: Convert to fraction form
    127,184.25/190,780.02 = 33,690/x
  3. Step 3: Cross multiply
    127,184.25x = 190,780.02 × 33,690
  4. Step 4: Simplify right side
    127,184.25x = 6,427,378,873.80
  5. Step 5: Solve for x
    x = 6,427,378,873.80/127,184.25
  6. Step 6: Final answer
    x = 50,535.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.