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Finding the Fourth Proportional to 49,656, 68,525.28 and 27,300

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Solution

The fourth proportional to 49,656, 68,525.28 and 27,300 is: 37,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,656 : 68,525.28 = 27,300 : x
  2. Step 2: Convert to fraction form
    49,656/68,525.28 = 27,300/x
  3. Step 3: Cross multiply
    49,656x = 68,525.28 × 27,300
  4. Step 4: Simplify right side
    49,656x = 1,870,740,144
  5. Step 5: Solve for x
    x = 1,870,740,144/49,656
  6. Step 6: Final answer
    x = 37,674

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.