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Finding the Fourth Proportional to 49,586.14, 74,379.18 and 12,650.14

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Solution

The fourth proportional to 49,586.14, 74,379.18 and 12,650.14 is: 18,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,586.14 : 74,379.18 = 12,650.14 : x
  2. Step 2: Convert to fraction form
    49,586.14/74,379.18 = 12,650.14/x
  3. Step 3: Cross multiply
    49,586.14x = 74,379.18 × 12,650.14
  4. Step 4: Simplify right side
    49,586.14x = 940,907,040.09
  5. Step 5: Solve for x
    x = 940,907,040.09/49,586.14
  6. Step 6: Final answer
    x = 18,975.20

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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.