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Finding the Fourth Proportional to 38,378.21, 52,975.22 and 22,467.78

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Solution

The fourth proportional to 38,378.21, 52,975.22 and 22,467.78 is: 31,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.21 : 52,975.22 = 22,467.78 : x
  2. Step 2: Convert to fraction form
    38,378.21/52,975.22 = 22,467.78/x
  3. Step 3: Cross multiply
    38,378.21x = 52,975.22 × 22,467.78
  4. Step 4: Simplify right side
    38,378.21x = 1,190,235,476.07
  5. Step 5: Solve for x
    x = 1,190,235,476.07/38,378.21
  6. Step 6: Final answer
    x = 31,013.32

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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.