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Finding the Fourth Proportional to 41,772.54, 57,647.25 and 23,870.46

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Solution

The fourth proportional to 41,772.54, 57,647.25 and 23,870.46 is: 32,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772.54 : 57,647.25 = 23,870.46 : x
  2. Step 2: Convert to fraction form
    41,772.54/57,647.25 = 23,870.46/x
  3. Step 3: Cross multiply
    41,772.54x = 57,647.25 × 23,870.46
  4. Step 4: Simplify right side
    41,772.54x = 1,376,066,375.24
  5. Step 5: Solve for x
    x = 1,376,066,375.24/41,772.54
  6. Step 6: Final answer
    x = 32,941.89

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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.