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Finding the Fourth Proportional to 41,605.56, 57,412.32 and 23,697

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Solution

The fourth proportional to 41,605.56, 57,412.32 and 23,697 is: 32,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,605.56 : 57,412.32 = 23,697 : x
  2. Step 2: Convert to fraction form
    41,605.56/57,412.32 = 23,697/x
  3. Step 3: Cross multiply
    41,605.56x = 57,412.32 × 23,697
  4. Step 4: Simplify right side
    41,605.56x = 1,360,499,747.04
  5. Step 5: Solve for x
    x = 1,360,499,747.04/41,605.56
  6. Step 6: Final answer
    x = 32,699.95

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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.