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Finding the Fourth Proportional to 101,147.69, 151,721.57 and 34,588.44

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Solution

The fourth proportional to 101,147.69, 151,721.57 and 34,588.44 is: 51,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,147.69 : 151,721.57 = 34,588.44 : x
  2. Step 2: Convert to fraction form
    101,147.69/151,721.57 = 34,588.44/x
  3. Step 3: Cross multiply
    101,147.69x = 151,721.57 × 34,588.44
  4. Step 4: Simplify right side
    101,147.69x = 5,247,812,507.12
  5. Step 5: Solve for x
    x = 5,247,812,507.12/101,147.69
  6. Step 6: Final answer
    x = 51,882.67

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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.