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Finding the Fourth Proportional to 75,755.64, 104,543.51 and 41,765.37

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Solution

The fourth proportional to 75,755.64, 104,543.51 and 41,765.37 is: 57,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.64 : 104,543.51 = 41,765.37 : x
  2. Step 2: Convert to fraction form
    75,755.64/104,543.51 = 41,765.37/x
  3. Step 3: Cross multiply
    75,755.64x = 104,543.51 × 41,765.37
  4. Step 4: Simplify right side
    75,755.64x = 4,366,298,376.25
  5. Step 5: Solve for x
    x = 4,366,298,376.25/75,755.64
  6. Step 6: Final answer
    x = 57,636.61

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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.