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Finding the Fourth Proportional to 77,164.62, 115,745.58 and 41,642.34

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Solution

The fourth proportional to 77,164.62, 115,745.58 and 41,642.34 is: 62,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.62 : 115,745.58 = 41,642.34 : x
  2. Step 2: Convert to fraction form
    77,164.62/115,745.58 = 41,642.34/x
  3. Step 3: Cross multiply
    77,164.62x = 115,745.58 × 41,642.34
  4. Step 4: Simplify right side
    77,164.62x = 4,819,916,795.86
  5. Step 5: Solve for x
    x = 4,819,916,795.86/77,164.62
  6. Step 6: Final answer
    x = 62,462.78

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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.