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Finding the Fourth Proportional to 37,769.67, 52,123.41 and 20,774.63

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Solution

The fourth proportional to 37,769.67, 52,123.41 and 20,774.63 is: 28,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769.67 : 52,123.41 = 20,774.63 : x
  2. Step 2: Convert to fraction form
    37,769.67/52,123.41 = 20,774.63/x
  3. Step 3: Cross multiply
    37,769.67x = 52,123.41 × 20,774.63
  4. Step 4: Simplify right side
    37,769.67x = 1,082,844,557.09
  5. Step 5: Solve for x
    x = 1,082,844,557.09/37,769.67
  6. Step 6: Final answer
    x = 28,669.69

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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.