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Finding the Fourth Proportional to 49,609, 68,460.42 and 27,253

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Solution

The fourth proportional to 49,609, 68,460.42 and 27,253 is: 37,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609 : 68,460.42 = 27,253 : x
  2. Step 2: Convert to fraction form
    49,609/68,460.42 = 27,253/x
  3. Step 3: Cross multiply
    49,609x = 68,460.42 × 27,253
  4. Step 4: Simplify right side
    49,609x = 1,865,751,826.26
  5. Step 5: Solve for x
    x = 1,865,751,826.26/49,609
  6. Step 6: Final answer
    x = 37,609.14

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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.