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Finding the Fourth Proportional to 47.71, 71.48 and 32.45

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Solution

The fourth proportional to 47.71, 71.48 and 32.45 is: 48.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 71.48 = 32.45 : x
  2. Step 2: Convert to fraction form
    47.71/71.48 = 32.45/x
  3. Step 3: Cross multiply
    47.71x = 71.48 × 32.45
  4. Step 4: Simplify right side
    47.71x = 2,319.25
  5. Step 5: Solve for x
    x = 2,319.25/47.71
  6. Step 6: Final answer
    x = 48.61

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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.