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Finding the Fourth Proportional to 37,470.82, 51,709.74 and 20,703.82

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Solution

The fourth proportional to 37,470.82, 51,709.74 and 20,703.82 is: 28,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470.82 : 51,709.74 = 20,703.82 : x
  2. Step 2: Convert to fraction form
    37,470.82/51,709.74 = 20,703.82/x
  3. Step 3: Cross multiply
    37,470.82x = 51,709.74 × 20,703.82
  4. Step 4: Simplify right side
    37,470.82x = 1,070,589,149.21
  5. Step 5: Solve for x
    x = 1,070,589,149.21/37,470.82
  6. Step 6: Final answer
    x = 28,571.28

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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.