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Finding the Fourth Proportional to 36,049.68, 49,745.34 and 20,133.72

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Solution

The fourth proportional to 36,049.68, 49,745.34 and 20,133.72 is: 27,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049.68 : 49,745.34 = 20,133.72 : x
  2. Step 2: Convert to fraction form
    36,049.68/49,745.34 = 20,133.72/x
  3. Step 3: Cross multiply
    36,049.68x = 49,745.34 × 20,133.72
  4. Step 4: Simplify right side
    36,049.68x = 1,001,558,746.86
  5. Step 5: Solve for x
    x = 1,001,558,746.86/36,049.68
  6. Step 6: Final answer
    x = 27,782.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.