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Finding the Fourth Proportional to 49,184, 67,874.28 and 26,828

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Solution

The fourth proportional to 49,184, 67,874.28 and 26,828 is: 37,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,184 : 67,874.28 = 26,828 : x
  2. Step 2: Convert to fraction form
    49,184/67,874.28 = 26,828/x
  3. Step 3: Cross multiply
    49,184x = 67,874.28 × 26,828
  4. Step 4: Simplify right side
    49,184x = 1,820,931,183.84
  5. Step 5: Solve for x
    x = 1,820,931,183.84/49,184
  6. Step 6: Final answer
    x = 37,022.84

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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.