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Finding the Fourth Proportional to 89,277.36, 133,912.20 and 26,946

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Solution

The fourth proportional to 89,277.36, 133,912.20 and 26,946 is: 40,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,277.36 : 133,912.20 = 26,946 : x
  2. Step 2: Convert to fraction form
    89,277.36/133,912.20 = 26,946/x
  3. Step 3: Cross multiply
    89,277.36x = 133,912.20 × 26,946
  4. Step 4: Simplify right side
    89,277.36x = 3,608,398,141.20
  5. Step 5: Solve for x
    x = 3,608,398,141.20/89,277.36
  6. Step 6: Final answer
    x = 40,417.84

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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.