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Finding the Fourth Proportional to 78,757.86, 118,205.10 and 41,344.37

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Solution

The fourth proportional to 78,757.86, 118,205.10 and 41,344.37 is: 62,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,757.86 : 118,205.10 = 41,344.37 : x
  2. Step 2: Convert to fraction form
    78,757.86/118,205.10 = 41,344.37/x
  3. Step 3: Cross multiply
    78,757.86x = 118,205.10 × 41,344.37
  4. Step 4: Simplify right side
    78,757.86x = 4,887,114,799.26
  5. Step 5: Solve for x
    x = 4,887,114,799.26/78,757.86
  6. Step 6: Final answer
    x = 62,052.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.