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Finding the Fourth Proportional to 49,768.88, 68,681.06 and 27,412.88

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Solution

The fourth proportional to 49,768.88, 68,681.06 and 27,412.88 is: 37,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768.88 : 68,681.06 = 27,412.88 : x
  2. Step 2: Convert to fraction form
    49,768.88/68,681.06 = 27,412.88/x
  3. Step 3: Cross multiply
    49,768.88x = 68,681.06 × 27,412.88
  4. Step 4: Simplify right side
    49,768.88x = 1,882,745,175.58
  5. Step 5: Solve for x
    x = 1,882,745,175.58/49,768.88
  6. Step 6: Final answer
    x = 37,829.77

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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.