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Finding the Fourth Proportional to 38.47, 53.02 and 35.33

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Solution

The fourth proportional to 38.47, 53.02 and 35.33 is: 48.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.47 : 53.02 = 35.33 : x
  2. Step 2: Convert to fraction form
    38.47/53.02 = 35.33/x
  3. Step 3: Cross multiply
    38.47x = 53.02 × 35.33
  4. Step 4: Simplify right side
    38.47x = 1,872.84
  5. Step 5: Solve for x
    x = 1,872.84/38.47
  6. Step 6: Final answer
    x = 48.69

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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.