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Finding the Fourth Proportional to 31,096.71, 42,913.19 and 16,949.25

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Solution

The fourth proportional to 31,096.71, 42,913.19 and 16,949.25 is: 23,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.71 : 42,913.19 = 16,949.25 : x
  2. Step 2: Convert to fraction form
    31,096.71/42,913.19 = 16,949.25/x
  3. Step 3: Cross multiply
    31,096.71x = 42,913.19 × 16,949.25
  4. Step 4: Simplify right side
    31,096.71x = 727,346,427.98
  5. Step 5: Solve for x
    x = 727,346,427.98/31,096.71
  6. Step 6: Final answer
    x = 23,389.82

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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.