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Finding the Fourth Proportional to 36,219.38, 49,999.12 and 22,810.34

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Solution

The fourth proportional to 36,219.38, 49,999.12 and 22,810.34 is: 31,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,219.38 : 49,999.12 = 22,810.34 : x
  2. Step 2: Convert to fraction form
    36,219.38/49,999.12 = 22,810.34/x
  3. Step 3: Cross multiply
    36,219.38x = 49,999.12 × 22,810.34
  4. Step 4: Simplify right side
    36,219.38x = 1,140,496,994.87
  5. Step 5: Solve for x
    x = 1,140,496,994.87/36,219.38
  6. Step 6: Final answer
    x = 31,488.59

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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.