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Finding the Fourth Proportional to 41,409.35, 57,143.65 and 23,012.40

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Solution

The fourth proportional to 41,409.35, 57,143.65 and 23,012.40 is: 31,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,409.35 : 57,143.65 = 23,012.40 : x
  2. Step 2: Convert to fraction form
    41,409.35/57,143.65 = 23,012.40/x
  3. Step 3: Cross multiply
    41,409.35x = 57,143.65 × 23,012.40
  4. Step 4: Simplify right side
    41,409.35x = 1,315,012,531.26
  5. Step 5: Solve for x
    x = 1,315,012,531.26/41,409.35
  6. Step 6: Final answer
    x = 31,756.42

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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.