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Finding the Fourth Proportional to 49,828, 68,762.64 and 27,473.44

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Solution

The fourth proportional to 49,828, 68,762.64 and 27,473.44 is: 37,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,828 : 68,762.64 = 27,473.44 : x
  2. Step 2: Convert to fraction form
    49,828/68,762.64 = 27,473.44/x
  3. Step 3: Cross multiply
    49,828x = 68,762.64 × 27,473.44
  4. Step 4: Simplify right side
    49,828x = 1,889,146,264.28
  5. Step 5: Solve for x
    x = 1,889,146,264.28/49,828
  6. Step 6: Final answer
    x = 37,913.35

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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.