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Finding the Fourth Proportional to 41,533.86, 57,314.74 and 23,627.19

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Solution

The fourth proportional to 41,533.86, 57,314.74 and 23,627.19 is: 32,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,533.86 : 57,314.74 = 23,627.19 : x
  2. Step 2: Convert to fraction form
    41,533.86/57,314.74 = 23,627.19/x
  3. Step 3: Cross multiply
    41,533.86x = 57,314.74 × 23,627.19
  4. Step 4: Simplify right side
    41,533.86x = 1,354,186,451.94
  5. Step 5: Solve for x
    x = 1,354,186,451.94/41,533.86
  6. Step 6: Final answer
    x = 32,604.39

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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.