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Finding the Fourth Proportional to 70,765.16, 106,147.74 and 18,174.70

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Solution

The fourth proportional to 70,765.16, 106,147.74 and 18,174.70 is: 27,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,765.16 : 106,147.74 = 18,174.70 : x
  2. Step 2: Convert to fraction form
    70,765.16/106,147.74 = 18,174.70/x
  3. Step 3: Cross multiply
    70,765.16x = 106,147.74 × 18,174.70
  4. Step 4: Simplify right side
    70,765.16x = 1,929,202,882.82
  5. Step 5: Solve for x
    x = 1,929,202,882.82/70,765.16
  6. Step 6: Final answer
    x = 27,262.04

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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.