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Finding the Fourth Proportional to 37,709.63, 52,039.29 and 20,942.63

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Solution

The fourth proportional to 37,709.63, 52,039.29 and 20,942.63 is: 28,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,709.63 : 52,039.29 = 20,942.63 : x
  2. Step 2: Convert to fraction form
    37,709.63/52,039.29 = 20,942.63/x
  3. Step 3: Cross multiply
    37,709.63x = 52,039.29 × 20,942.63
  4. Step 4: Simplify right side
    37,709.63x = 1,089,839,335.74
  5. Step 5: Solve for x
    x = 1,089,839,335.74/37,709.63
  6. Step 6: Final answer
    x = 28,900.83

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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.