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Finding the Fourth Proportional to 51,405.49, 77,107.42 and 16,344.64

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Solution

The fourth proportional to 51,405.49, 77,107.42 and 16,344.64 is: 24,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.49 : 77,107.42 = 16,344.64 : x
  2. Step 2: Convert to fraction form
    51,405.49/77,107.42 = 16,344.64/x
  3. Step 3: Cross multiply
    51,405.49x = 77,107.42 × 16,344.64
  4. Step 4: Simplify right side
    51,405.49x = 1,260,293,021.23
  5. Step 5: Solve for x
    x = 1,260,293,021.23/51,405.49
  6. Step 6: Final answer
    x = 24,516.70

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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.