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Finding the Fourth Proportional to 36,133.84, 49,865.76 and 20,217.92

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Solution

The fourth proportional to 36,133.84, 49,865.76 and 20,217.92 is: 27,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,133.84 : 49,865.76 = 20,217.92 : x
  2. Step 2: Convert to fraction form
    36,133.84/49,865.76 = 20,217.92/x
  3. Step 3: Cross multiply
    36,133.84x = 49,865.76 × 20,217.92
  4. Step 4: Simplify right side
    36,133.84x = 1,008,181,946.42
  5. Step 5: Solve for x
    x = 1,008,181,946.42/36,133.84
  6. Step 6: Final answer
    x = 27,901.32

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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.