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Finding the Fourth Proportional to 49,084, 73,626.72 and 12,148

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Solution

The fourth proportional to 49,084, 73,626.72 and 12,148 is: 18,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,084 : 73,626.72 = 12,148 : x
  2. Step 2: Convert to fraction form
    49,084/73,626.72 = 12,148/x
  3. Step 3: Cross multiply
    49,084x = 73,626.72 × 12,148
  4. Step 4: Simplify right side
    49,084x = 894,417,394.56
  5. Step 5: Solve for x
    x = 894,417,394.56/49,084
  6. Step 6: Final answer
    x = 18,222.18

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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.