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Finding the Fourth Proportional to 77,745.42, 107,288.01 and 44,211.42

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Solution

The fourth proportional to 77,745.42, 107,288.01 and 44,211.42 is: 61,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,745.42 : 107,288.01 = 44,211.42 : x
  2. Step 2: Convert to fraction form
    77,745.42/107,288.01 = 44,211.42/x
  3. Step 3: Cross multiply
    77,745.42x = 107,288.01 × 44,211.42
  4. Step 4: Simplify right side
    77,745.42x = 4,743,355,271.07
  5. Step 5: Solve for x
    x = 4,743,355,271.07/77,745.42
  6. Step 6: Final answer
    x = 61,011.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.