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Finding the Fourth Proportional to 118,098.44, 177,094.33 and 33,839.30

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Solution

The fourth proportional to 118,098.44, 177,094.33 and 33,839.30 is: 50,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098.44 : 177,094.33 = 33,839.30 : x
  2. Step 2: Convert to fraction form
    118,098.44/177,094.33 = 33,839.30/x
  3. Step 3: Cross multiply
    118,098.44x = 177,094.33 × 33,839.30
  4. Step 4: Simplify right side
    118,098.44x = 5,992,748,519.31
  5. Step 5: Solve for x
    x = 5,992,748,519.31/118,098.44
  6. Step 6: Final answer
    x = 50,743.67

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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.