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Finding the Fourth Proportional to 52,680.48, 78,916.50 and 27,683.16

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Solution

The fourth proportional to 52,680.48, 78,916.50 and 27,683.16 is: 41,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,680.48 : 78,916.50 = 27,683.16 : x
  2. Step 2: Convert to fraction form
    52,680.48/78,916.50 = 27,683.16/x
  3. Step 3: Cross multiply
    52,680.48x = 78,916.50 × 27,683.16
  4. Step 4: Simplify right side
    52,680.48x = 2,184,658,096.14
  5. Step 5: Solve for x
    x = 2,184,658,096.14/52,680.48
  6. Step 6: Final answer
    x = 41,469.97

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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.