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Finding the Fourth Proportional to 41,549.14, 57,353.70 and 28,189.54

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Solution

The fourth proportional to 41,549.14, 57,353.70 and 28,189.54 is: 38,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,549.14 : 57,353.70 = 28,189.54 : x
  2. Step 2: Convert to fraction form
    41,549.14/57,353.70 = 28,189.54/x
  3. Step 3: Cross multiply
    41,549.14x = 57,353.70 × 28,189.54
  4. Step 4: Simplify right side
    41,549.14x = 1,616,774,420.30
  5. Step 5: Solve for x
    x = 1,616,774,420.30/41,549.14
  6. Step 6: Final answer
    x = 38,912.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.