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Finding the Fourth Proportional to 49,683.86, 74,453.34 and 23,038

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Solution

The fourth proportional to 49,683.86, 74,453.34 and 23,038 is: 34,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,683.86 : 74,453.34 = 23,038 : x
  2. Step 2: Convert to fraction form
    49,683.86/74,453.34 = 23,038/x
  3. Step 3: Cross multiply
    49,683.86x = 74,453.34 × 23,038
  4. Step 4: Simplify right side
    49,683.86x = 1,715,256,046.92
  5. Step 5: Solve for x
    x = 1,715,256,046.92/49,683.86
  6. Step 6: Final answer
    x = 34,523.41

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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.