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Finding the Fourth Proportional to 36,137.84, 49,869.08 and 20,004.16

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Solution

The fourth proportional to 36,137.84, 49,869.08 and 20,004.16 is: 27,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,137.84 : 49,869.08 = 20,004.16 : x
  2. Step 2: Convert to fraction form
    36,137.84/49,869.08 = 20,004.16/x
  3. Step 3: Cross multiply
    36,137.84x = 49,869.08 × 20,004.16
  4. Step 4: Simplify right side
    36,137.84x = 997,589,055.37
  5. Step 5: Solve for x
    x = 997,589,055.37/36,137.84
  6. Step 6: Final answer
    x = 27,605.11

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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.