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Finding the Fourth Proportional to 38,744.72, 58,117.08 and 11,042

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Solution

The fourth proportional to 38,744.72, 58,117.08 and 11,042 is: 16,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.72 : 58,117.08 = 11,042 : x
  2. Step 2: Convert to fraction form
    38,744.72/58,117.08 = 11,042/x
  3. Step 3: Cross multiply
    38,744.72x = 58,117.08 × 11,042
  4. Step 4: Simplify right side
    38,744.72x = 641,728,797.36
  5. Step 5: Solve for x
    x = 641,728,797.36/38,744.72
  6. Step 6: Final answer
    x = 16,563

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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.