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Finding the Fourth Proportional to 100,348.74, 150,538.57 and 33,783.65

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Solution

The fourth proportional to 100,348.74, 150,538.57 and 33,783.65 is: 50,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,348.74 : 150,538.57 = 33,783.65 : x
  2. Step 2: Convert to fraction form
    100,348.74/150,538.57 = 33,783.65/x
  3. Step 3: Cross multiply
    100,348.74x = 150,538.57 × 33,783.65
  4. Step 4: Simplify right side
    100,348.74x = 5,085,742,087.75
  5. Step 5: Solve for x
    x = 5,085,742,087.75/100,348.74
  6. Step 6: Final answer
    x = 50,680.68

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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.