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Finding the Fourth Proportional to 31,157.46, 46,696.50 and 22,409.46

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Solution

The fourth proportional to 31,157.46, 46,696.50 and 22,409.46 is: 33,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.46 : 46,696.50 = 22,409.46 : x
  2. Step 2: Convert to fraction form
    31,157.46/46,696.50 = 22,409.46/x
  3. Step 3: Cross multiply
    31,157.46x = 46,696.50 × 22,409.46
  4. Step 4: Simplify right side
    31,157.46x = 1,046,443,348.89
  5. Step 5: Solve for x
    x = 1,046,443,348.89/31,157.46
  6. Step 6: Final answer
    x = 33,585.64

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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.