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Finding the Fourth Proportional to 31,016.40, 46,492.20 and 16,954.80

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Solution

The fourth proportional to 31,016.40, 46,492.20 and 16,954.80 is: 25,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.40 : 46,492.20 = 16,954.80 : x
  2. Step 2: Convert to fraction form
    31,016.40/46,492.20 = 16,954.80/x
  3. Step 3: Cross multiply
    31,016.40x = 46,492.20 × 16,954.80
  4. Step 4: Simplify right side
    31,016.40x = 788,265,952.56
  5. Step 5: Solve for x
    x = 788,265,952.56/31,016.40
  6. Step 6: Final answer
    x = 25,414.49

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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.