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Finding the Fourth Proportional to 49,416.84, 68,190.12 and 28,192

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Solution

The fourth proportional to 49,416.84, 68,190.12 and 28,192 is: 38,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.84 : 68,190.12 = 28,192 : x
  2. Step 2: Convert to fraction form
    49,416.84/68,190.12 = 28,192/x
  3. Step 3: Cross multiply
    49,416.84x = 68,190.12 × 28,192
  4. Step 4: Simplify right side
    49,416.84x = 1,922,415,863.04
  5. Step 5: Solve for x
    x = 1,922,415,863.04/49,416.84
  6. Step 6: Final answer
    x = 38,902.04

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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.