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Finding the Fourth Proportional to 51,906.51, 77,859.77 and 29,704.19

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Solution

The fourth proportional to 51,906.51, 77,859.77 and 29,704.19 is: 44,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.51 : 77,859.77 = 29,704.19 : x
  2. Step 2: Convert to fraction form
    51,906.51/77,859.77 = 29,704.19/x
  3. Step 3: Cross multiply
    51,906.51x = 77,859.77 × 29,704.19
  4. Step 4: Simplify right side
    51,906.51x = 2,312,761,401.44
  5. Step 5: Solve for x
    x = 2,312,761,401.44/51,906.51
  6. Step 6: Final answer
    x = 44,556.29

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Similar ratio
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1.5x scale

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.