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Finding the Fourth Proportional to 41,573, 62,382.06 and 24,077

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Solution

The fourth proportional to 41,573, 62,382.06 and 24,077 is: 36,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573 : 62,382.06 = 24,077 : x
  2. Step 2: Convert to fraction form
    41,573/62,382.06 = 24,077/x
  3. Step 3: Cross multiply
    41,573x = 62,382.06 × 24,077
  4. Step 4: Simplify right side
    41,573x = 1,501,972,858.62
  5. Step 5: Solve for x
    x = 1,501,972,858.62/41,573
  6. Step 6: Final answer
    x = 36,128.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.