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Finding the Fourth Proportional to 47.84, 66.04 and 32.32

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Solution

The fourth proportional to 47.84, 66.04 and 32.32 is: 44.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 66.04 = 32.32 : x
  2. Step 2: Convert to fraction form
    47.84/66.04 = 32.32/x
  3. Step 3: Cross multiply
    47.84x = 66.04 × 32.32
  4. Step 4: Simplify right side
    47.84x = 2,134.41
  5. Step 5: Solve for x
    x = 2,134.41/47.84
  6. Step 6: Final answer
    x = 44.62

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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.