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Finding the Fourth Proportional to 32,715.36, 49,072.32 and 8,091.36

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Solution

The fourth proportional to 32,715.36, 49,072.32 and 8,091.36 is: 12,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715.36 : 49,072.32 = 8,091.36 : x
  2. Step 2: Convert to fraction form
    32,715.36/49,072.32 = 8,091.36/x
  3. Step 3: Cross multiply
    32,715.36x = 49,072.32 × 8,091.36
  4. Step 4: Simplify right side
    32,715.36x = 397,061,807.16
  5. Step 5: Solve for x
    x = 397,061,807.16/32,715.36
  6. Step 6: Final answer
    x = 12,136.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.