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Finding the Fourth Proportional to 41,072.84, 56,680.24 and 23,168

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Solution

The fourth proportional to 41,072.84, 56,680.24 and 23,168 is: 31,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,072.84 : 56,680.24 = 23,168 : x
  2. Step 2: Convert to fraction form
    41,072.84/56,680.24 = 23,168/x
  3. Step 3: Cross multiply
    41,072.84x = 56,680.24 × 23,168
  4. Step 4: Simplify right side
    41,072.84x = 1,313,167,800.32
  5. Step 5: Solve for x
    x = 1,313,167,800.32/41,072.84
  6. Step 6: Final answer
    x = 31,971.68

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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.