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Finding the Fourth Proportional to 31,096.32, 42,912.93 and 16,949.16

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Solution

The fourth proportional to 31,096.32, 42,912.93 and 16,949.16 is: 23,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.32 : 42,912.93 = 16,949.16 : x
  2. Step 2: Convert to fraction form
    31,096.32/42,912.93 = 16,949.16/x
  3. Step 3: Cross multiply
    31,096.32x = 42,912.93 × 16,949.16
  4. Step 4: Simplify right side
    31,096.32x = 727,338,116.64
  5. Step 5: Solve for x
    x = 727,338,116.64/31,096.32
  6. Step 6: Final answer
    x = 23,389.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.