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Finding the Fourth Proportional to 36,121.90, 49,848.36 and 20,206.36

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Solution

The fourth proportional to 36,121.90, 49,848.36 and 20,206.36 is: 27,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,121.90 : 49,848.36 = 20,206.36 : x
  2. Step 2: Convert to fraction form
    36,121.90/49,848.36 = 20,206.36/x
  3. Step 3: Cross multiply
    36,121.90x = 49,848.36 × 20,206.36
  4. Step 4: Simplify right side
    36,121.90x = 1,007,254,007.77
  5. Step 5: Solve for x
    x = 1,007,254,007.77/36,121.90
  6. Step 6: Final answer
    x = 27,884.86

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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.