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Finding the Fourth Proportional to 87,451, 131,204.16 and 31,289.86

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Solution

The fourth proportional to 87,451, 131,204.16 and 31,289.86 is: 46,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,451 : 131,204.16 = 31,289.86 : x
  2. Step 2: Convert to fraction form
    87,451/131,204.16 = 31,289.86/x
  3. Step 3: Cross multiply
    87,451x = 131,204.16 × 31,289.86
  4. Step 4: Simplify right side
    87,451x = 4,105,359,797.82
  5. Step 5: Solve for x
    x = 4,105,359,797.82/87,451
  6. Step 6: Final answer
    x = 46,944.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.