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Finding the Fourth Proportional to 77,175.54, 115,581.87 and 37,608.66

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Solution

The fourth proportional to 77,175.54, 115,581.87 and 37,608.66 is: 56,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.54 : 115,581.87 = 37,608.66 : x
  2. Step 2: Convert to fraction form
    77,175.54/115,581.87 = 37,608.66/x
  3. Step 3: Cross multiply
    77,175.54x = 115,581.87 × 37,608.66
  4. Step 4: Simplify right side
    77,175.54x = 4,346,879,250.99
  5. Step 5: Solve for x
    x = 4,346,879,250.99/77,175.54
  6. Step 6: Final answer
    x = 56,324.57

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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.