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Finding the Fourth Proportional to 36,006.84, 49,684.46 and 20,088.20

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Solution

The fourth proportional to 36,006.84, 49,684.46 and 20,088.20 is: 27,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,006.84 : 49,684.46 = 20,088.20 : x
  2. Step 2: Convert to fraction form
    36,006.84/49,684.46 = 20,088.20/x
  3. Step 3: Cross multiply
    36,006.84x = 49,684.46 × 20,088.20
  4. Step 4: Simplify right side
    36,006.84x = 998,071,369.37
  5. Step 5: Solve for x
    x = 998,071,369.37/36,006.84
  6. Step 6: Final answer
    x = 27,718.94

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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.