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Finding the Fourth Proportional to 47.34, 65.61 and 39.24

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Solution

The fourth proportional to 47.34, 65.61 and 39.24 is: 54.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.61 = 39.24 : x
  2. Step 2: Convert to fraction form
    47.34/65.61 = 39.24/x
  3. Step 3: Cross multiply
    47.34x = 65.61 × 39.24
  4. Step 4: Simplify right side
    47.34x = 2,574.54
  5. Step 5: Solve for x
    x = 2,574.54/47.34
  6. Step 6: Final answer
    x = 54.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.