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Finding the Fourth Proportional to 27,754.34, 41,619.15 and 8,028.23

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Solution

The fourth proportional to 27,754.34, 41,619.15 and 8,028.23 is: 12,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.34 : 41,619.15 = 8,028.23 : x
  2. Step 2: Convert to fraction form
    27,754.34/41,619.15 = 8,028.23/x
  3. Step 3: Cross multiply
    27,754.34x = 41,619.15 × 8,028.23
  4. Step 4: Simplify right side
    27,754.34x = 334,127,900.51
  5. Step 5: Solve for x
    x = 334,127,900.51/27,754.34
  6. Step 6: Final answer
    x = 12,038.76

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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.