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Finding the Fourth Proportional to 75,960.53, 113,879.74 and 52,197.67

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Solution

The fourth proportional to 75,960.53, 113,879.74 and 52,197.67 is: 78,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,960.53 : 113,879.74 = 52,197.67 : x
  2. Step 2: Convert to fraction form
    75,960.53/113,879.74 = 52,197.67/x
  3. Step 3: Cross multiply
    75,960.53x = 113,879.74 × 52,197.67
  4. Step 4: Simplify right side
    75,960.53x = 5,944,256,682.47
  5. Step 5: Solve for x
    x = 5,944,256,682.47/75,960.53
  6. Step 6: Final answer
    x = 78,254.54

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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.