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Finding the Fourth Proportional to 77,552.82, 116,242 and 39,495.32

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Solution

The fourth proportional to 77,552.82, 116,242 and 39,495.32 is: 59,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552.82 : 116,242 = 39,495.32 : x
  2. Step 2: Convert to fraction form
    77,552.82/116,242 = 39,495.32/x
  3. Step 3: Cross multiply
    77,552.82x = 116,242 × 39,495.32
  4. Step 4: Simplify right side
    77,552.82x = 4,591,014,987.44
  5. Step 5: Solve for x
    x = 4,591,014,987.44/77,552.82
  6. Step 6: Final answer
    x = 59,198.56

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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.