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Finding the Fourth Proportional to 31,111.70, 46,631.10 and 23,311.40

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Solution

The fourth proportional to 31,111.70, 46,631.10 and 23,311.40 is: 34,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.70 : 46,631.10 = 23,311.40 : x
  2. Step 2: Convert to fraction form
    31,111.70/46,631.10 = 23,311.40/x
  3. Step 3: Cross multiply
    31,111.70x = 46,631.10 × 23,311.40
  4. Step 4: Simplify right side
    31,111.70x = 1,087,036,224.54
  5. Step 5: Solve for x
    x = 1,087,036,224.54/31,111.70
  6. Step 6: Final answer
    x = 34,939.79

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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.