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Finding the Fourth Proportional to 90,324.28, 135,436.65 and 31,111.12

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Solution

The fourth proportional to 90,324.28, 135,436.65 and 31,111.12 is: 46,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,324.28 : 135,436.65 = 31,111.12 : x
  2. Step 2: Convert to fraction form
    90,324.28/135,436.65 = 31,111.12/x
  3. Step 3: Cross multiply
    90,324.28x = 135,436.65 × 31,111.12
  4. Step 4: Simplify right side
    90,324.28x = 4,213,585,870.55
  5. Step 5: Solve for x
    x = 4,213,585,870.55/90,324.28
  6. Step 6: Final answer
    x = 46,649.54

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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.