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Finding the Fourth Proportional to 38.07, 52.50 and 23.49

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Solution

The fourth proportional to 38.07, 52.50 and 23.49 is: 32.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.07 : 52.50 = 23.49 : x
  2. Step 2: Convert to fraction form
    38.07/52.50 = 23.49/x
  3. Step 3: Cross multiply
    38.07x = 52.50 × 23.49
  4. Step 4: Simplify right side
    38.07x = 1,233.23
  5. Step 5: Solve for x
    x = 1,233.23/38.07
  6. Step 6: Final answer
    x = 32.39

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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.