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Finding the Fourth Proportional to 67,682.88, 93,361.68 and 49,824

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Solution

The fourth proportional to 67,682.88, 93,361.68 and 49,824 is: 68,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,682.88 : 93,361.68 = 49,824 : x
  2. Step 2: Convert to fraction form
    67,682.88/93,361.68 = 49,824/x
  3. Step 3: Cross multiply
    67,682.88x = 93,361.68 × 49,824
  4. Step 4: Simplify right side
    67,682.88x = 4,651,652,344.32
  5. Step 5: Solve for x
    x = 4,651,652,344.32/67,682.88
  6. Step 6: Final answer
    x = 68,727.16

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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.