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Finding the Fourth Proportional to 47.32, 70.80 and 32.83

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Solution

The fourth proportional to 47.32, 70.80 and 32.83 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.32 : 70.80 = 32.83 : x
  2. Step 2: Convert to fraction form
    47.32/70.80 = 32.83/x
  3. Step 3: Cross multiply
    47.32x = 70.80 × 32.83
  4. Step 4: Simplify right side
    47.32x = 2,324.36
  5. Step 5: Solve for x
    x = 2,324.36/47.32
  6. Step 6: Final answer
    x = 49.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.