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Finding the Fourth Proportional to 41,465.37, 57,223.77 and 23,563.41

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Solution

The fourth proportional to 41,465.37, 57,223.77 and 23,563.41 is: 32,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,465.37 : 57,223.77 = 23,563.41 : x
  2. Step 2: Convert to fraction form
    41,465.37/57,223.77 = 23,563.41/x
  3. Step 3: Cross multiply
    41,465.37x = 57,223.77 × 23,563.41
  4. Step 4: Simplify right side
    41,465.37x = 1,348,387,154.26
  5. Step 5: Solve for x
    x = 1,348,387,154.26/41,465.37
  6. Step 6: Final answer
    x = 32,518.39

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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.