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Finding the Fourth Proportional to 38.76, 58.17 and 32.34

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Solution

The fourth proportional to 38.76, 58.17 and 32.34 is: 48.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.76 : 58.17 = 32.34 : x
  2. Step 2: Convert to fraction form
    38.76/58.17 = 32.34/x
  3. Step 3: Cross multiply
    38.76x = 58.17 × 32.34
  4. Step 4: Simplify right side
    38.76x = 1,881.22
  5. Step 5: Solve for x
    x = 1,881.22/38.76
  6. Step 6: Final answer
    x = 48.54

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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.