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Finding the Fourth Proportional to 47.76, 65.90 and 32.24

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Solution

The fourth proportional to 47.76, 65.90 and 32.24 is: 44.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.76 : 65.90 = 32.24 : x
  2. Step 2: Convert to fraction form
    47.76/65.90 = 32.24/x
  3. Step 3: Cross multiply
    47.76x = 65.90 × 32.24
  4. Step 4: Simplify right side
    47.76x = 2,124.13
  5. Step 5: Solve for x
    x = 2,124.13/47.76
  6. Step 6: Final answer
    x = 44.47

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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.