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Finding the Fourth Proportional to 32,868.36, 49,297.68 and 12,087

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Solution

The fourth proportional to 32,868.36, 49,297.68 and 12,087 is: 18,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868.36 : 49,297.68 = 12,087 : x
  2. Step 2: Convert to fraction form
    32,868.36/49,297.68 = 12,087/x
  3. Step 3: Cross multiply
    32,868.36x = 49,297.68 × 12,087
  4. Step 4: Simplify right side
    32,868.36x = 595,861,058.16
  5. Step 5: Solve for x
    x = 595,861,058.16/32,868.36
  6. Step 6: Final answer
    x = 18,128.71

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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.