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Finding the Fourth Proportional to 30,116, 41,558.96 and 17,369.71

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Solution

The fourth proportional to 30,116, 41,558.96 and 17,369.71 is: 23,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 41,558.96 = 17,369.71 : x
  2. Step 2: Convert to fraction form
    30,116/41,558.96 = 17,369.71/x
  3. Step 3: Cross multiply
    30,116x = 41,558.96 × 17,369.71
  4. Step 4: Simplify right side
    30,116x = 721,867,083.10
  5. Step 5: Solve for x
    x = 721,867,083.10/30,116
  6. Step 6: Final answer
    x = 23,969.55

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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.