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Finding the Fourth Proportional to 47.84, 71.64 and 35.78

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Solution

The fourth proportional to 47.84, 71.64 and 35.78 is: 53.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.64 = 35.78 : x
  2. Step 2: Convert to fraction form
    47.84/71.64 = 35.78/x
  3. Step 3: Cross multiply
    47.84x = 71.64 × 35.78
  4. Step 4: Simplify right side
    47.84x = 2,563.28
  5. Step 5: Solve for x
    x = 2,563.28/47.84
  6. Step 6: Final answer
    x = 53.58

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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.