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Finding the Fourth Proportional to 47.02, 70.59 and 33.49

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Solution

The fourth proportional to 47.02, 70.59 and 33.49 is: 50.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 70.59 = 33.49 : x
  2. Step 2: Convert to fraction form
    47.02/70.59 = 33.49/x
  3. Step 3: Cross multiply
    47.02x = 70.59 × 33.49
  4. Step 4: Simplify right side
    47.02x = 2,364.06
  5. Step 5: Solve for x
    x = 2,364.06/47.02
  6. Step 6: Final answer
    x = 50.28

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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.