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Finding the Fourth Proportional to 47.10, 70.63 and 24.28

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Solution

The fourth proportional to 47.10, 70.63 and 24.28 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 70.63 = 24.28 : x
  2. Step 2: Convert to fraction form
    47.10/70.63 = 24.28/x
  3. Step 3: Cross multiply
    47.10x = 70.63 × 24.28
  4. Step 4: Simplify right side
    47.10x = 1,714.90
  5. Step 5: Solve for x
    x = 1,714.90/47.10
  6. Step 6: Final answer
    x = 36.41

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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.