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Finding the Fourth Proportional to 30,165.84, 41,626.98 and 18,222.12

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Solution

The fourth proportional to 30,165.84, 41,626.98 and 18,222.12 is: 25,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.84 : 41,626.98 = 18,222.12 : x
  2. Step 2: Convert to fraction form
    30,165.84/41,626.98 = 18,222.12/x
  3. Step 3: Cross multiply
    30,165.84x = 41,626.98 × 18,222.12
  4. Step 4: Simplify right side
    30,165.84x = 758,531,824.80
  5. Step 5: Solve for x
    x = 758,531,824.80/30,165.84
  6. Step 6: Final answer
    x = 25,145.39

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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.