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Finding the Fourth Proportional to 29,942.89, 44,914.34 and 14,142.74

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Solution

The fourth proportional to 29,942.89, 44,914.34 and 14,142.74 is: 21,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.89 : 44,914.34 = 14,142.74 : x
  2. Step 2: Convert to fraction form
    29,942.89/44,914.34 = 14,142.74/x
  3. Step 3: Cross multiply
    29,942.89x = 44,914.34 × 14,142.74
  4. Step 4: Simplify right side
    29,942.89x = 635,211,643.68
  5. Step 5: Solve for x
    x = 635,211,643.68/29,942.89
  6. Step 6: Final answer
    x = 21,214.11

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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.