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Finding the Fourth Proportional to 95,311.96, 142,969.16 and 25,190.67

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Solution

The fourth proportional to 95,311.96, 142,969.16 and 25,190.67 is: 37,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,311.96 : 142,969.16 = 25,190.67 : x
  2. Step 2: Convert to fraction form
    95,311.96/142,969.16 = 25,190.67/x
  3. Step 3: Cross multiply
    95,311.96x = 142,969.16 × 25,190.67
  4. Step 4: Simplify right side
    95,311.96x = 3,601,488,929.74
  5. Step 5: Solve for x
    x = 3,601,488,929.74/95,311.96
  6. Step 6: Final answer
    x = 37,786.33

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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.