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Finding the Fourth Proportional to 38,736, 58,113.72 and 11,034

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Solution

The fourth proportional to 38,736, 58,113.72 and 11,034 is: 16,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,736 : 58,113.72 = 11,034 : x
  2. Step 2: Convert to fraction form
    38,736/58,113.72 = 11,034/x
  3. Step 3: Cross multiply
    38,736x = 58,113.72 × 11,034
  4. Step 4: Simplify right side
    38,736x = 641,226,786.48
  5. Step 5: Solve for x
    x = 641,226,786.48/38,736
  6. Step 6: Final answer
    x = 16,553.77

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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.