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Finding the Fourth Proportional to 30,164.34, 41,624.91 and 18,220.62

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Solution

The fourth proportional to 30,164.34, 41,624.91 and 18,220.62 is: 25,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.34 : 41,624.91 = 18,220.62 : x
  2. Step 2: Convert to fraction form
    30,164.34/41,624.91 = 18,220.62/x
  3. Step 3: Cross multiply
    30,164.34x = 41,624.91 × 18,220.62
  4. Step 4: Simplify right side
    30,164.34x = 758,431,667.64
  5. Step 5: Solve for x
    x = 758,431,667.64/30,164.34
  6. Step 6: Final answer
    x = 25,143.32

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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.