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Finding the Fourth Proportional to 37,842.70, 52,220.89 and 20,846.36

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Solution

The fourth proportional to 37,842.70, 52,220.89 and 20,846.36 is: 28,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.70 : 52,220.89 = 20,846.36 : x
  2. Step 2: Convert to fraction form
    37,842.70/52,220.89 = 20,846.36/x
  3. Step 3: Cross multiply
    37,842.70x = 52,220.89 × 20,846.36
  4. Step 4: Simplify right side
    37,842.70x = 1,088,615,472.46
  5. Step 5: Solve for x
    x = 1,088,615,472.46/37,842.70
  6. Step 6: Final answer
    x = 28,766.86

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