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Finding the Fourth Proportional to 37,538.56, 51,802.50 and 20,771.56

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Solution

The fourth proportional to 37,538.56, 51,802.50 and 20,771.56 is: 28,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.56 : 51,802.50 = 20,771.56 : x
  2. Step 2: Convert to fraction form
    37,538.56/51,802.50 = 20,771.56/x
  3. Step 3: Cross multiply
    37,538.56x = 51,802.50 × 20,771.56
  4. Step 4: Simplify right side
    37,538.56x = 1,076,018,736.90
  5. Step 5: Solve for x
    x = 1,076,018,736.90/37,538.56
  6. Step 6: Final answer
    x = 28,664.36

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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.