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Finding the Fourth Proportional to 36,735.84, 55,168.36 and 36,209.94

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Solution

The fourth proportional to 36,735.84, 55,168.36 and 36,209.94 is: 54,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,735.84 : 55,168.36 = 36,209.94 : x
  2. Step 2: Convert to fraction form
    36,735.84/55,168.36 = 36,209.94/x
  3. Step 3: Cross multiply
    36,735.84x = 55,168.36 × 36,209.94
  4. Step 4: Simplify right side
    36,735.84x = 1,997,643,005.50
  5. Step 5: Solve for x
    x = 1,997,643,005.50/36,735.84
  6. Step 6: Final answer
    x = 54,378.59

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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.