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Finding the Fourth Proportional to 38,298, 52,851.33 and 22,391.22

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Solution

The fourth proportional to 38,298, 52,851.33 and 22,391.22 is: 30,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298 : 52,851.33 = 22,391.22 : x
  2. Step 2: Convert to fraction form
    38,298/52,851.33 = 22,391.22/x
  3. Step 3: Cross multiply
    38,298x = 52,851.33 × 22,391.22
  4. Step 4: Simplify right side
    38,298x = 1,183,405,757.32
  5. Step 5: Solve for x
    x = 1,183,405,757.32/38,298
  6. Step 6: Final answer
    x = 30,899.94

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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.