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Finding the Fourth Proportional to 49,894.46, 68,830.47 and 33,767.40

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Solution

The fourth proportional to 49,894.46, 68,830.47 and 33,767.40 is: 46,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.46 : 68,830.47 = 33,767.40 : x
  2. Step 2: Convert to fraction form
    49,894.46/68,830.47 = 33,767.40/x
  3. Step 3: Cross multiply
    49,894.46x = 68,830.47 × 33,767.40
  4. Step 4: Simplify right side
    49,894.46x = 2,324,226,012.68
  5. Step 5: Solve for x
    x = 2,324,226,012.68/49,894.46
  6. Step 6: Final answer
    x = 46,582.85

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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.