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Finding the Fourth Proportional to 27,804.36, 41,706.68 and 7,027.88

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Solution

The fourth proportional to 27,804.36, 41,706.68 and 7,027.88 is: 10,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.36 : 41,706.68 = 7,027.88 : x
  2. Step 2: Convert to fraction form
    27,804.36/41,706.68 = 7,027.88/x
  3. Step 3: Cross multiply
    27,804.36x = 41,706.68 × 7,027.88
  4. Step 4: Simplify right side
    27,804.36x = 293,109,542.24
  5. Step 5: Solve for x
    x = 293,109,542.24/27,804.36
  6. Step 6: Final answer
    x = 10,541.86

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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.