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Finding the Fourth Proportional to 41,407.41, 57,137.93 and 23,260.17

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Solution

The fourth proportional to 41,407.41, 57,137.93 and 23,260.17 is: 32,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.41 : 57,137.93 = 23,260.17 : x
  2. Step 2: Convert to fraction form
    41,407.41/57,137.93 = 23,260.17/x
  3. Step 3: Cross multiply
    41,407.41x = 57,137.93 × 23,260.17
  4. Step 4: Simplify right side
    41,407.41x = 1,329,038,023.40
  5. Step 5: Solve for x
    x = 1,329,038,023.40/41,407.41
  6. Step 6: Final answer
    x = 32,096.62

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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.