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Finding the Fourth Proportional to 36,166.20, 49,901.28 and 21,828.38

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Solution

The fourth proportional to 36,166.20, 49,901.28 and 21,828.38 is: 30,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,166.20 : 49,901.28 = 21,828.38 : x
  2. Step 2: Convert to fraction form
    36,166.20/49,901.28 = 21,828.38/x
  3. Step 3: Cross multiply
    36,166.20x = 49,901.28 × 21,828.38
  4. Step 4: Simplify right side
    36,166.20x = 1,089,263,852.82
  5. Step 5: Solve for x
    x = 1,089,263,852.82/36,166.20
  6. Step 6: Final answer
    x = 30,118.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.