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Finding the Fourth Proportional to 36,019.02, 49,706.40 and 20,104.14

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Solution

The fourth proportional to 36,019.02, 49,706.40 and 20,104.14 is: 27,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.02 : 49,706.40 = 20,104.14 : x
  2. Step 2: Convert to fraction form
    36,019.02/49,706.40 = 20,104.14/x
  3. Step 3: Cross multiply
    36,019.02x = 49,706.40 × 20,104.14
  4. Step 4: Simplify right side
    36,019.02x = 999,304,424.50
  5. Step 5: Solve for x
    x = 999,304,424.50/36,019.02
  6. Step 6: Final answer
    x = 27,743.80

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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.