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Finding the Fourth Proportional to 101,343.44, 152,018.25 and 34,782.62

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Solution

The fourth proportional to 101,343.44, 152,018.25 and 34,782.62 is: 52,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,343.44 : 152,018.25 = 34,782.62 : x
  2. Step 2: Convert to fraction form
    101,343.44/152,018.25 = 34,782.62/x
  3. Step 3: Cross multiply
    101,343.44x = 152,018.25 × 34,782.62
  4. Step 4: Simplify right side
    101,343.44x = 5,287,593,022.82
  5. Step 5: Solve for x
    x = 5,287,593,022.82/101,343.44
  6. Step 6: Final answer
    x = 52,174.99

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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.