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Finding the Fourth Proportional to 36,103.48, 49,822.77 and 20,188.20

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Solution

The fourth proportional to 36,103.48, 49,822.77 and 20,188.20 is: 27,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,103.48 : 49,822.77 = 20,188.20 : x
  2. Step 2: Convert to fraction form
    36,103.48/49,822.77 = 20,188.20/x
  3. Step 3: Cross multiply
    36,103.48x = 49,822.77 × 20,188.20
  4. Step 4: Simplify right side
    36,103.48x = 1,005,832,045.31
  5. Step 5: Solve for x
    x = 1,005,832,045.31/36,103.48
  6. Step 6: Final answer
    x = 27,859.70

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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.