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Finding the Fourth Proportional to 109,876.20, 164,804.70 and 36,004.20

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Solution

The fourth proportional to 109,876.20, 164,804.70 and 36,004.20 is: 54,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876.20 : 164,804.70 = 36,004.20 : x
  2. Step 2: Convert to fraction form
    109,876.20/164,804.70 = 36,004.20/x
  3. Step 3: Cross multiply
    109,876.20x = 164,804.70 × 36,004.20
  4. Step 4: Simplify right side
    109,876.20x = 5,933,661,379.74
  5. Step 5: Solve for x
    x = 5,933,661,379.74/109,876.20
  6. Step 6: Final answer
    x = 54,003.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.