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Finding the Fourth Proportional to 76,758.88, 115,187.32 and 37,294.48

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Solution

The fourth proportional to 76,758.88, 115,187.32 and 37,294.48 is: 55,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,758.88 : 115,187.32 = 37,294.48 : x
  2. Step 2: Convert to fraction form
    76,758.88/115,187.32 = 37,294.48/x
  3. Step 3: Cross multiply
    76,758.88x = 115,187.32 × 37,294.48
  4. Step 4: Simplify right side
    76,758.88x = 4,295,851,201.99
  5. Step 5: Solve for x
    x = 4,295,851,201.99/76,758.88
  6. Step 6: Final answer
    x = 55,965.53

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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.