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Finding the Fourth Proportional to 49,148.25, 73,722.38 and 12,212.25

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Solution

The fourth proportional to 49,148.25, 73,722.38 and 12,212.25 is: 18,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148.25 : 73,722.38 = 12,212.25 : x
  2. Step 2: Convert to fraction form
    49,148.25/73,722.38 = 12,212.25/x
  3. Step 3: Cross multiply
    49,148.25x = 73,722.38 × 12,212.25
  4. Step 4: Simplify right side
    49,148.25x = 900,316,074.09
  5. Step 5: Solve for x
    x = 900,316,074.09/49,148.25
  6. Step 6: Final answer
    x = 18,318.38

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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.