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Finding the Fourth Proportional to 41,317.84, 57,013.96 and 23,409

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Solution

The fourth proportional to 41,317.84, 57,013.96 and 23,409 is: 32,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,317.84 : 57,013.96 = 23,409 : x
  2. Step 2: Convert to fraction form
    41,317.84/57,013.96 = 23,409/x
  3. Step 3: Cross multiply
    41,317.84x = 57,013.96 × 23,409
  4. Step 4: Simplify right side
    41,317.84x = 1,334,639,789.64
  5. Step 5: Solve for x
    x = 1,334,639,789.64/41,317.84
  6. Step 6: Final answer
    x = 32,301.78

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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.