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Finding the Fourth Proportional to 41,967, 62,969.94 and 22,254.84

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Solution

The fourth proportional to 41,967, 62,969.94 and 22,254.84 is: 33,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,967 : 62,969.94 = 22,254.84 : x
  2. Step 2: Convert to fraction form
    41,967/62,969.94 = 22,254.84/x
  3. Step 3: Cross multiply
    41,967x = 62,969.94 × 22,254.84
  4. Step 4: Simplify right side
    41,967x = 1,401,385,939.51
  5. Step 5: Solve for x
    x = 1,401,385,939.51/41,967
  6. Step 6: Final answer
    x = 33,392.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.