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Finding the Fourth Proportional to 47.14, 65.02 and 38.04

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Solution

The fourth proportional to 47.14, 65.02 and 38.04 is: 52.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.14 : 65.02 = 38.04 : x
  2. Step 2: Convert to fraction form
    47.14/65.02 = 38.04/x
  3. Step 3: Cross multiply
    47.14x = 65.02 × 38.04
  4. Step 4: Simplify right side
    47.14x = 2,473.36
  5. Step 5: Solve for x
    x = 2,473.36/47.14
  6. Step 6: Final answer
    x = 52.47

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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.