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Finding the Fourth Proportional to 36,138.48, 49,873.86 and 20,225.76

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Solution

The fourth proportional to 36,138.48, 49,873.86 and 20,225.76 is: 27,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.48 : 49,873.86 = 20,225.76 : x
  2. Step 2: Convert to fraction form
    36,138.48/49,873.86 = 20,225.76/x
  3. Step 3: Cross multiply
    36,138.48x = 49,873.86 × 20,225.76
  4. Step 4: Simplify right side
    36,138.48x = 1,008,736,722.63
  5. Step 5: Solve for x
    x = 1,008,736,722.63/36,138.48
  6. Step 6: Final answer
    x = 27,913.09

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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.