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Finding the Fourth Proportional to 36,193.84, 49,946.11 and 20,277.49

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Solution

The fourth proportional to 36,193.84, 49,946.11 and 20,277.49 is: 27,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,193.84 : 49,946.11 = 20,277.49 : x
  2. Step 2: Convert to fraction form
    36,193.84/49,946.11 = 20,277.49/x
  3. Step 3: Cross multiply
    36,193.84x = 49,946.11 × 20,277.49
  4. Step 4: Simplify right side
    36,193.84x = 1,012,781,746.06
  5. Step 5: Solve for x
    x = 1,012,781,746.06/36,193.84
  6. Step 6: Final answer
    x = 27,982.16

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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.