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Finding the Fourth Proportional to 37,470.56, 51,708.76 and 20,474.44

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Solution

The fourth proportional to 37,470.56, 51,708.76 and 20,474.44 is: 28,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470.56 : 51,708.76 = 20,474.44 : x
  2. Step 2: Convert to fraction form
    37,470.56/51,708.76 = 20,474.44/x
  3. Step 3: Cross multiply
    37,470.56x = 51,708.76 × 20,474.44
  4. Step 4: Simplify right side
    37,470.56x = 1,058,707,904.09
  5. Step 5: Solve for x
    x = 1,058,707,904.09/37,470.56
  6. Step 6: Final answer
    x = 28,254.39

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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.