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Finding the Fourth Proportional to 39,843, 54,990.72 and 23,076

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Solution

The fourth proportional to 39,843, 54,990.72 and 23,076 is: 31,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843 : 54,990.72 = 23,076 : x
  2. Step 2: Convert to fraction form
    39,843/54,990.72 = 23,076/x
  3. Step 3: Cross multiply
    39,843x = 54,990.72 × 23,076
  4. Step 4: Simplify right side
    39,843x = 1,268,965,854.72
  5. Step 5: Solve for x
    x = 1,268,965,854.72/39,843
  6. Step 6: Final answer
    x = 31,849.15

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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.