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Finding the Fourth Proportional to 75,677, 104,260.38 and 59,755.64

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Solution

The fourth proportional to 75,677, 104,260.38 and 59,755.64 is: 82,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,677 : 104,260.38 = 59,755.64 : x
  2. Step 2: Convert to fraction form
    75,677/104,260.38 = 59,755.64/x
  3. Step 3: Cross multiply
    75,677x = 104,260.38 × 59,755.64
  4. Step 4: Simplify right side
    75,677x = 6,230,145,733.54
  5. Step 5: Solve for x
    x = 6,230,145,733.54/75,677
  6. Step 6: Final answer
    x = 82,325.49

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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.