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Finding the Fourth Proportional to 51,973.74, 71,723.84 and 28,100.43

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Solution

The fourth proportional to 51,973.74, 71,723.84 and 28,100.43 is: 38,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,973.74 : 71,723.84 = 28,100.43 : x
  2. Step 2: Convert to fraction form
    51,973.74/71,723.84 = 28,100.43/x
  3. Step 3: Cross multiply
    51,973.74x = 71,723.84 × 28,100.43
  4. Step 4: Simplify right side
    51,973.74x = 2,015,470,604.75
  5. Step 5: Solve for x
    x = 2,015,470,604.75/51,973.74
  6. Step 6: Final answer
    x = 38,778.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.