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Finding the Fourth Proportional to 38,933, 53,727.62 and 22,166

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Solution

The fourth proportional to 38,933, 53,727.62 and 22,166 is: 30,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,933 : 53,727.62 = 22,166 : x
  2. Step 2: Convert to fraction form
    38,933/53,727.62 = 22,166/x
  3. Step 3: Cross multiply
    38,933x = 53,727.62 × 22,166
  4. Step 4: Simplify right side
    38,933x = 1,190,926,424.92
  5. Step 5: Solve for x
    x = 1,190,926,424.92/38,933
  6. Step 6: Final answer
    x = 30,589.13

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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.