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Finding the Fourth Proportional to 36,842.76, 55,286 and 14,650.16

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Solution

The fourth proportional to 36,842.76, 55,286 and 14,650.16 is: 21,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.76 : 55,286 = 14,650.16 : x
  2. Step 2: Convert to fraction form
    36,842.76/55,286 = 14,650.16/x
  3. Step 3: Cross multiply
    36,842.76x = 55,286 × 14,650.16
  4. Step 4: Simplify right side
    36,842.76x = 809,948,745.76
  5. Step 5: Solve for x
    x = 809,948,745.76/36,842.76
  6. Step 6: Final answer
    x = 21,983.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.