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Finding the Fourth Proportional to 36,678.72, 50,616 and 19,911.36

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Solution

The fourth proportional to 36,678.72, 50,616 and 19,911.36 is: 27,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,678.72 : 50,616 = 19,911.36 : x
  2. Step 2: Convert to fraction form
    36,678.72/50,616 = 19,911.36/x
  3. Step 3: Cross multiply
    36,678.72x = 50,616 × 19,911.36
  4. Step 4: Simplify right side
    36,678.72x = 1,007,833,397.76
  5. Step 5: Solve for x
    x = 1,007,833,397.76/36,678.72
  6. Step 6: Final answer
    x = 27,477.33

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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.