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Finding the Fourth Proportional to 87,644.50, 120,974.22 and 51,846.95

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Solution

The fourth proportional to 87,644.50, 120,974.22 and 51,846.95 is: 71,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,644.50 : 120,974.22 = 51,846.95 : x
  2. Step 2: Convert to fraction form
    87,644.50/120,974.22 = 51,846.95/x
  3. Step 3: Cross multiply
    87,644.50x = 120,974.22 × 51,846.95
  4. Step 4: Simplify right side
    87,644.50x = 6,272,144,638.06
  5. Step 5: Solve for x
    x = 6,272,144,638.06/87,644.50
  6. Step 6: Final answer
    x = 71,563.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.