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Finding the Fourth Proportional to 34,738.52, 52,110.20 and 13,962

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Solution

The fourth proportional to 34,738.52, 52,110.20 and 13,962 is: 20,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.52 : 52,110.20 = 13,962 : x
  2. Step 2: Convert to fraction form
    34,738.52/52,110.20 = 13,962/x
  3. Step 3: Cross multiply
    34,738.52x = 52,110.20 × 13,962
  4. Step 4: Simplify right side
    34,738.52x = 727,562,612.40
  5. Step 5: Solve for x
    x = 727,562,612.40/34,738.52
  6. Step 6: Final answer
    x = 20,943.97

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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.