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Finding the Fourth Proportional to 42,684.33, 58,906.94 and 23,822.67

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Solution

The fourth proportional to 42,684.33, 58,906.94 and 23,822.67 is: 32,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684.33 : 58,906.94 = 23,822.67 : x
  2. Step 2: Convert to fraction form
    42,684.33/58,906.94 = 23,822.67/x
  3. Step 3: Cross multiply
    42,684.33x = 58,906.94 × 23,822.67
  4. Step 4: Simplify right side
    42,684.33x = 1,403,320,473.22
  5. Step 5: Solve for x
    x = 1,403,320,473.22/42,684.33
  6. Step 6: Final answer
    x = 32,876.71

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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.