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Finding the Fourth Proportional to 41,872.85, 57,783.88 and 23,009.57

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Solution

The fourth proportional to 41,872.85, 57,783.88 and 23,009.57 is: 31,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,872.85 : 57,783.88 = 23,009.57 : x
  2. Step 2: Convert to fraction form
    41,872.85/57,783.88 = 23,009.57/x
  3. Step 3: Cross multiply
    41,872.85x = 57,783.88 × 23,009.57
  4. Step 4: Simplify right side
    41,872.85x = 1,329,582,116.68
  5. Step 5: Solve for x
    x = 1,329,582,116.68/41,872.85
  6. Step 6: Final answer
    x = 31,752.85

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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.