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Finding the Fourth Proportional to 49.92, 74.84 and 19.47

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Solution

The fourth proportional to 49.92, 74.84 and 19.47 is: 29.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 74.84 = 19.47 : x
  2. Step 2: Convert to fraction form
    49.92/74.84 = 19.47/x
  3. Step 3: Cross multiply
    49.92x = 74.84 × 19.47
  4. Step 4: Simplify right side
    49.92x = 1,457.04
  5. Step 5: Solve for x
    x = 1,457.04/49.92
  6. Step 6: Final answer
    x = 29.19

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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.