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Finding the Fourth Proportional to 36,035.38, 49,745.40 and 27,085.76

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Solution

The fourth proportional to 36,035.38, 49,745.40 and 27,085.76 is: 37,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035.38 : 49,745.40 = 27,085.76 : x
  2. Step 2: Convert to fraction form
    36,035.38/49,745.40 = 27,085.76/x
  3. Step 3: Cross multiply
    36,035.38x = 49,745.40 × 27,085.76
  4. Step 4: Simplify right side
    36,035.38x = 1,347,391,965.50
  5. Step 5: Solve for x
    x = 1,347,391,965.50/36,035.38
  6. Step 6: Final answer
    x = 37,390.81

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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.