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Finding the Fourth Proportional to 47.25, 65.10 and 32.49

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Solution

The fourth proportional to 47.25, 65.10 and 32.49 is: 44.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 65.10 = 32.49 : x
  2. Step 2: Convert to fraction form
    47.25/65.10 = 32.49/x
  3. Step 3: Cross multiply
    47.25x = 65.10 × 32.49
  4. Step 4: Simplify right side
    47.25x = 2,115.10
  5. Step 5: Solve for x
    x = 2,115.10/47.25
  6. Step 6: Final answer
    x = 44.76

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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.