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Finding the Fourth Proportional to 36,113.17, 49,838.48 and 20,197.74

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Solution

The fourth proportional to 36,113.17, 49,838.48 and 20,197.74 is: 27,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,113.17 : 49,838.48 = 20,197.74 : x
  2. Step 2: Convert to fraction form
    36,113.17/49,838.48 = 20,197.74/x
  3. Step 3: Cross multiply
    36,113.17x = 49,838.48 × 20,197.74
  4. Step 4: Simplify right side
    36,113.17x = 1,006,624,661.04
  5. Step 5: Solve for x
    x = 1,006,624,661.04/36,113.17
  6. Step 6: Final answer
    x = 27,874.17

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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.