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Finding the Fourth Proportional to 36,122.51, 49,848.32 and 20,207.09

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Solution

The fourth proportional to 36,122.51, 49,848.32 and 20,207.09 is: 27,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122.51 : 49,848.32 = 20,207.09 : x
  2. Step 2: Convert to fraction form
    36,122.51/49,848.32 = 20,207.09/x
  3. Step 3: Cross multiply
    36,122.51x = 49,848.32 × 20,207.09
  4. Step 4: Simplify right side
    36,122.51x = 1,007,289,138.31
  5. Step 5: Solve for x
    x = 1,007,289,138.31/36,122.51
  6. Step 6: Final answer
    x = 27,885.36

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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.