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Finding the Fourth Proportional to 47.50, 65.64 and 37.12

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Solution

The fourth proportional to 47.50, 65.64 and 37.12 is: 51.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.50 : 65.64 = 37.12 : x
  2. Step 2: Convert to fraction form
    47.50/65.64 = 37.12/x
  3. Step 3: Cross multiply
    47.50x = 65.64 × 37.12
  4. Step 4: Simplify right side
    47.50x = 2,436.56
  5. Step 5: Solve for x
    x = 2,436.56/47.50
  6. Step 6: Final answer
    x = 51.30

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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.