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Finding the Fourth Proportional to 41,606.29, 57,444.39 and 24,616

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Solution

The fourth proportional to 41,606.29, 57,444.39 and 24,616 is: 33,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,606.29 : 57,444.39 = 24,616 : x
  2. Step 2: Convert to fraction form
    41,606.29/57,444.39 = 24,616/x
  3. Step 3: Cross multiply
    41,606.29x = 57,444.39 × 24,616
  4. Step 4: Simplify right side
    41,606.29x = 1,414,051,104.24
  5. Step 5: Solve for x
    x = 1,414,051,104.24/41,606.29
  6. Step 6: Final answer
    x = 33,986.47

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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.