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Finding the Fourth Proportional to 47.50, 65.52 and 35.20

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Solution

The fourth proportional to 47.50, 65.52 and 35.20 is: 48.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.50 : 65.52 = 35.20 : x
  2. Step 2: Convert to fraction form
    47.50/65.52 = 35.20/x
  3. Step 3: Cross multiply
    47.50x = 65.52 × 35.20
  4. Step 4: Simplify right side
    47.50x = 2,306.30
  5. Step 5: Solve for x
    x = 2,306.30/47.50
  6. Step 6: Final answer
    x = 48.55

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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.