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Finding the Fourth Proportional to 36,792, 55,149.36 and 18,046.08

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Solution

The fourth proportional to 36,792, 55,149.36 and 18,046.08 is: 27,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,792 : 55,149.36 = 18,046.08 : x
  2. Step 2: Convert to fraction form
    36,792/55,149.36 = 18,046.08/x
  3. Step 3: Cross multiply
    36,792x = 55,149.36 × 18,046.08
  4. Step 4: Simplify right side
    36,792x = 995,229,762.51
  5. Step 5: Solve for x
    x = 995,229,762.51/36,792
  6. Step 6: Final answer
    x = 27,050.17

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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.