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Finding the Fourth Proportional to 27,739.71, 41,603.48 and 8,013.98

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Solution

The fourth proportional to 27,739.71, 41,603.48 and 8,013.98 is: 12,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.71 : 41,603.48 = 8,013.98 : x
  2. Step 2: Convert to fraction form
    27,739.71/41,603.48 = 8,013.98/x
  3. Step 3: Cross multiply
    27,739.71x = 41,603.48 × 8,013.98
  4. Step 4: Simplify right side
    27,739.71x = 333,409,208.56
  5. Step 5: Solve for x
    x = 333,409,208.56/27,739.71
  6. Step 6: Final answer
    x = 12,019.20

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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.