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Finding the Fourth Proportional to 47,224, 65,169.12 and 26,003.22

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Solution

The fourth proportional to 47,224, 65,169.12 and 26,003.22 is: 35,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224 : 65,169.12 = 26,003.22 : x
  2. Step 2: Convert to fraction form
    47,224/65,169.12 = 26,003.22/x
  3. Step 3: Cross multiply
    47,224x = 65,169.12 × 26,003.22
  4. Step 4: Simplify right side
    47,224x = 1,694,606,964.57
  5. Step 5: Solve for x
    x = 1,694,606,964.57/47,224
  6. Step 6: Final answer
    x = 35,884.44

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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.