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Finding the Fourth Proportional to 87,181, 130,790.94 and 31,777

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Solution

The fourth proportional to 87,181, 130,790.94 and 31,777 is: 47,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,181 : 130,790.94 = 31,777 : x
  2. Step 2: Convert to fraction form
    87,181/130,790.94 = 31,777/x
  3. Step 3: Cross multiply
    87,181x = 130,790.94 × 31,777
  4. Step 4: Simplify right side
    87,181x = 4,156,143,700.38
  5. Step 5: Solve for x
    x = 4,156,143,700.38/87,181
  6. Step 6: Final answer
    x = 47,672.59

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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.