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Finding the Fourth Proportional to 36,019.54, 49,705.14 and 20,106.28

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Solution

The fourth proportional to 36,019.54, 49,705.14 and 20,106.28 is: 27,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.54 : 49,705.14 = 20,106.28 : x
  2. Step 2: Convert to fraction form
    36,019.54/49,705.14 = 20,106.28/x
  3. Step 3: Cross multiply
    36,019.54x = 49,705.14 × 20,106.28
  4. Step 4: Simplify right side
    36,019.54x = 999,385,462.28
  5. Step 5: Solve for x
    x = 999,385,462.28/36,019.54
  6. Step 6: Final answer
    x = 27,745.65

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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.