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Finding the Fourth Proportional to 49,576.34, 74,376.22 and 16,296.50

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Solution

The fourth proportional to 49,576.34, 74,376.22 and 16,296.50 is: 24,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,576.34 : 74,376.22 = 16,296.50 : x
  2. Step 2: Convert to fraction form
    49,576.34/74,376.22 = 16,296.50/x
  3. Step 3: Cross multiply
    49,576.34x = 74,376.22 × 16,296.50
  4. Step 4: Simplify right side
    49,576.34x = 1,212,072,069.23
  5. Step 5: Solve for x
    x = 1,212,072,069.23/49,576.34
  6. Step 6: Final answer
    x = 24,448.60

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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.