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Finding the Fourth Proportional to 36,019.50, 49,706.73 and 20,103

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Solution

The fourth proportional to 36,019.50, 49,706.73 and 20,103 is: 27,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.50 : 49,706.73 = 20,103 : x
  2. Step 2: Convert to fraction form
    36,019.50/49,706.73 = 20,103/x
  3. Step 3: Cross multiply
    36,019.50x = 49,706.73 × 20,103
  4. Step 4: Simplify right side
    36,019.50x = 999,254,393.19
  5. Step 5: Solve for x
    x = 999,254,393.19/36,019.50
  6. Step 6: Final answer
    x = 27,742.04

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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.