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Finding the Fourth Proportional to 41,003.08, 56,584.26 and 24,019

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Solution

The fourth proportional to 41,003.08, 56,584.26 and 24,019 is: 33,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,003.08 : 56,584.26 = 24,019 : x
  2. Step 2: Convert to fraction form
    41,003.08/56,584.26 = 24,019/x
  3. Step 3: Cross multiply
    41,003.08x = 56,584.26 × 24,019
  4. Step 4: Simplify right side
    41,003.08x = 1,359,097,340.94
  5. Step 5: Solve for x
    x = 1,359,097,340.94/41,003.08
  6. Step 6: Final answer
    x = 33,146.23

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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.