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Finding the Fourth Proportional to 44,137.76, 66,185.83 and 16,038

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Solution

The fourth proportional to 44,137.76, 66,185.83 and 16,038 is: 24,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,137.76 : 66,185.83 = 16,038 : x
  2. Step 2: Convert to fraction form
    44,137.76/66,185.83 = 16,038/x
  3. Step 3: Cross multiply
    44,137.76x = 66,185.83 × 16,038
  4. Step 4: Simplify right side
    44,137.76x = 1,061,488,341.54
  5. Step 5: Solve for x
    x = 1,061,488,341.54/44,137.76
  6. Step 6: Final answer
    x = 24,049.44

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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.