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Finding the Fourth Proportional to 49,176, 73,764.72 and 12,240

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Solution

The fourth proportional to 49,176, 73,764.72 and 12,240 is: 18,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 73,764.72 = 12,240 : x
  2. Step 2: Convert to fraction form
    49,176/73,764.72 = 12,240/x
  3. Step 3: Cross multiply
    49,176x = 73,764.72 × 12,240
  4. Step 4: Simplify right side
    49,176x = 902,880,172.80
  5. Step 5: Solve for x
    x = 902,880,172.80/49,176
  6. Step 6: Final answer
    x = 18,360.18

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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.