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Finding the Fourth Proportional to 49,578, 68,475.96 and 33,634.80

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Solution

The fourth proportional to 49,578, 68,475.96 and 33,634.80 is: 46,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578 : 68,475.96 = 33,634.80 : x
  2. Step 2: Convert to fraction form
    49,578/68,475.96 = 33,634.80/x
  3. Step 3: Cross multiply
    49,578x = 68,475.96 × 33,634.80
  4. Step 4: Simplify right side
    49,578x = 2,303,175,219.41
  5. Step 5: Solve for x
    x = 2,303,175,219.41/49,578
  6. Step 6: Final answer
    x = 46,455.59

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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.