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Finding the Fourth Proportional to 30,164.35, 41,627.91 and 18,225.38

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Solution

The fourth proportional to 30,164.35, 41,627.91 and 18,225.38 is: 25,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.35 : 41,627.91 = 18,225.38 : x
  2. Step 2: Convert to fraction form
    30,164.35/41,627.91 = 18,225.38/x
  3. Step 3: Cross multiply
    30,164.35x = 41,627.91 × 18,225.38
  4. Step 4: Simplify right side
    30,164.35x = 758,684,179.09
  5. Step 5: Solve for x
    x = 758,684,179.09/30,164.35
  6. Step 6: Final answer
    x = 25,151.69

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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.