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Finding the Fourth Proportional to 47.33, 65.32 and 41.19

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Solution

The fourth proportional to 47.33, 65.32 and 41.19 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.33 : 65.32 = 41.19 : x
  2. Step 2: Convert to fraction form
    47.33/65.32 = 41.19/x
  3. Step 3: Cross multiply
    47.33x = 65.32 × 41.19
  4. Step 4: Simplify right side
    47.33x = 2,690.43
  5. Step 5: Solve for x
    x = 2,690.43/47.33
  6. Step 6: Final answer
    x = 56.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.