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Finding the Fourth Proportional to 36,325.76, 54,477.12 and 11,696

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Solution

The fourth proportional to 36,325.76, 54,477.12 and 11,696 is: 17,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,325.76 : 54,477.12 = 11,696 : x
  2. Step 2: Convert to fraction form
    36,325.76/54,477.12 = 11,696/x
  3. Step 3: Cross multiply
    36,325.76x = 54,477.12 × 11,696
  4. Step 4: Simplify right side
    36,325.76x = 637,164,395.52
  5. Step 5: Solve for x
    x = 637,164,395.52/36,325.76
  6. Step 6: Final answer
    x = 17,540.29

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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.