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Finding the Fourth Proportional to 49,574, 68,470.44 and 33,630.78

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Solution

The fourth proportional to 49,574, 68,470.44 and 33,630.78 is: 46,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,574 : 68,470.44 = 33,630.78 : x
  2. Step 2: Convert to fraction form
    49,574/68,470.44 = 33,630.78/x
  3. Step 3: Cross multiply
    49,574x = 68,470.44 × 33,630.78
  4. Step 4: Simplify right side
    49,574x = 2,302,714,304.14
  5. Step 5: Solve for x
    x = 2,302,714,304.14/49,574
  6. Step 6: Final answer
    x = 46,450.04

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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.