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Finding the Fourth Proportional to 36,139.80, 49,875 and 20,224.10

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Solution

The fourth proportional to 36,139.80, 49,875 and 20,224.10 is: 27,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,139.80 : 49,875 = 20,224.10 : x
  2. Step 2: Convert to fraction form
    36,139.80/49,875 = 20,224.10/x
  3. Step 3: Cross multiply
    36,139.80x = 49,875 × 20,224.10
  4. Step 4: Simplify right side
    36,139.80x = 1,008,676,987.50
  5. Step 5: Solve for x
    x = 1,008,676,987.50/36,139.80
  6. Step 6: Final answer
    x = 27,910.42

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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.