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Finding the Fourth Proportional to 41,834, 57,731.32 and 22,971.54

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Solution

The fourth proportional to 41,834, 57,731.32 and 22,971.54 is: 31,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834 : 57,731.32 = 22,971.54 : x
  2. Step 2: Convert to fraction form
    41,834/57,731.32 = 22,971.54/x
  3. Step 3: Cross multiply
    41,834x = 57,731.32 × 22,971.54
  4. Step 4: Simplify right side
    41,834x = 1,326,177,326.63
  5. Step 5: Solve for x
    x = 1,326,177,326.63/41,834
  6. Step 6: Final answer
    x = 31,700.94

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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.