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Finding the Fourth Proportional to 39,923.58, 55,092.66 and 22,916

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Solution

The fourth proportional to 39,923.58, 55,092.66 and 22,916 is: 31,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,923.58 : 55,092.66 = 22,916 : x
  2. Step 2: Convert to fraction form
    39,923.58/55,092.66 = 22,916/x
  3. Step 3: Cross multiply
    39,923.58x = 55,092.66 × 22,916
  4. Step 4: Simplify right side
    39,923.58x = 1,262,503,396.56
  5. Step 5: Solve for x
    x = 1,262,503,396.56/39,923.58
  6. Step 6: Final answer
    x = 31,623.00

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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.