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Finding the Fourth Proportional to 38,971.56, 53,781.34 and 21,976.62

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Solution

The fourth proportional to 38,971.56, 53,781.34 and 21,976.62 is: 30,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.56 : 53,781.34 = 21,976.62 : x
  2. Step 2: Convert to fraction form
    38,971.56/53,781.34 = 21,976.62/x
  3. Step 3: Cross multiply
    38,971.56x = 53,781.34 × 21,976.62
  4. Step 4: Simplify right side
    38,971.56x = 1,181,932,072.27
  5. Step 5: Solve for x
    x = 1,181,932,072.27/38,971.56
  6. Step 6: Final answer
    x = 30,328.07

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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.