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Finding the Fourth Proportional to 41,724, 57,579.16 and 22,861.28

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Solution

The fourth proportional to 41,724, 57,579.16 and 22,861.28 is: 31,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,724 : 57,579.16 = 22,861.28 : x
  2. Step 2: Convert to fraction form
    41,724/57,579.16 = 22,861.28/x
  3. Step 3: Cross multiply
    41,724x = 57,579.16 × 22,861.28
  4. Step 4: Simplify right side
    41,724x = 1,316,333,298.92
  5. Step 5: Solve for x
    x = 1,316,333,298.92/41,724
  6. Step 6: Final answer
    x = 31,548.59

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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.