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Finding the Fourth Proportional to 37,738, 52,065.16 and 22,635.55

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Solution

The fourth proportional to 37,738, 52,065.16 and 22,635.55 is: 31,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,738 : 52,065.16 = 22,635.55 : x
  2. Step 2: Convert to fraction form
    37,738/52,065.16 = 22,635.55/x
  3. Step 3: Cross multiply
    37,738x = 52,065.16 × 22,635.55
  4. Step 4: Simplify right side
    37,738x = 1,178,523,532.44
  5. Step 5: Solve for x
    x = 1,178,523,532.44/37,738
  6. Step 6: Final answer
    x = 31,229.09

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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.