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Finding the Fourth Proportional to 36,017.54, 49,706.70 and 20,105.09

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Solution

The fourth proportional to 36,017.54, 49,706.70 and 20,105.09 is: 27,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,017.54 : 49,706.70 = 20,105.09 : x
  2. Step 2: Convert to fraction form
    36,017.54/49,706.70 = 20,105.09/x
  3. Step 3: Cross multiply
    36,017.54x = 49,706.70 × 20,105.09
  4. Step 4: Simplify right side
    36,017.54x = 999,357,677.10
  5. Step 5: Solve for x
    x = 999,357,677.10/36,017.54
  6. Step 6: Final answer
    x = 27,746.42

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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.