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Finding the Fourth Proportional to 36,838.67, 55,265.90 and 11,880.14

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Solution

The fourth proportional to 36,838.67, 55,265.90 and 11,880.14 is: 17,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838.67 : 55,265.90 = 11,880.14 : x
  2. Step 2: Convert to fraction form
    36,838.67/55,265.90 = 11,880.14/x
  3. Step 3: Cross multiply
    36,838.67x = 55,265.90 × 11,880.14
  4. Step 4: Simplify right side
    36,838.67x = 656,566,293.50
  5. Step 5: Solve for x
    x = 656,566,293.50/36,838.67
  6. Step 6: Final answer
    x = 17,822.75

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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.