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Finding the Fourth Proportional to 41,403.36, 57,203.44 and 28,884

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Solution

The fourth proportional to 41,403.36, 57,203.44 and 28,884 is: 39,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,403.36 : 57,203.44 = 28,884 : x
  2. Step 2: Convert to fraction form
    41,403.36/57,203.44 = 28,884/x
  3. Step 3: Cross multiply
    41,403.36x = 57,203.44 × 28,884
  4. Step 4: Simplify right side
    41,403.36x = 1,652,264,160.96
  5. Step 5: Solve for x
    x = 1,652,264,160.96/41,403.36
  6. Step 6: Final answer
    x = 39,906.52

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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.