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Finding the Fourth Proportional to 31,096.17, 46,643.38 and 7,722.54

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Solution

The fourth proportional to 31,096.17, 46,643.38 and 7,722.54 is: 11,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.17 : 46,643.38 = 7,722.54 : x
  2. Step 2: Convert to fraction form
    31,096.17/46,643.38 = 7,722.54/x
  3. Step 3: Cross multiply
    31,096.17x = 46,643.38 × 7,722.54
  4. Step 4: Simplify right side
    31,096.17x = 360,205,348.48
  5. Step 5: Solve for x
    x = 360,205,348.48/31,096.17
  6. Step 6: Final answer
    x = 11,583.59

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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.