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Finding the Fourth Proportional to 57,824.82, 79,491.60 and 49,728.78

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Solution

The fourth proportional to 57,824.82, 79,491.60 and 49,728.78 is: 68,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824.82 : 79,491.60 = 49,728.78 : x
  2. Step 2: Convert to fraction form
    57,824.82/79,491.60 = 49,728.78/x
  3. Step 3: Cross multiply
    57,824.82x = 79,491.60 × 49,728.78
  4. Step 4: Simplify right side
    57,824.82x = 3,953,020,288.25
  5. Step 5: Solve for x
    x = 3,953,020,288.25/57,824.82
  6. Step 6: Final answer
    x = 68,362.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.