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Finding the Fourth Proportional to 81,311.40, 122,003.55 and 36,915.30

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Solution

The fourth proportional to 81,311.40, 122,003.55 and 36,915.30 is: 55,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,311.40 : 122,003.55 = 36,915.30 : x
  2. Step 2: Convert to fraction form
    81,311.40/122,003.55 = 36,915.30/x
  3. Step 3: Cross multiply
    81,311.40x = 122,003.55 × 36,915.30
  4. Step 4: Simplify right side
    81,311.40x = 4,503,797,649.32
  5. Step 5: Solve for x
    x = 4,503,797,649.32/81,311.40
  6. Step 6: Final answer
    x = 55,389.50

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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.