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Finding the Fourth Proportional to 36,117.17, 49,838.98 and 20,198.54

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Solution

The fourth proportional to 36,117.17, 49,838.98 and 20,198.54 is: 27,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117.17 : 49,838.98 = 20,198.54 : x
  2. Step 2: Convert to fraction form
    36,117.17/49,838.98 = 20,198.54/x
  3. Step 3: Cross multiply
    36,117.17x = 49,838.98 × 20,198.54
  4. Step 4: Simplify right side
    36,117.17x = 1,006,674,549.44
  5. Step 5: Solve for x
    x = 1,006,674,549.44/36,117.17
  6. Step 6: Final answer
    x = 27,872.47

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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.