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Finding the Fourth Proportional to 77,164, 115,745.88 and 50,677.21

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Solution

The fourth proportional to 77,164, 115,745.88 and 50,677.21 is: 76,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164 : 115,745.88 = 50,677.21 : x
  2. Step 2: Convert to fraction form
    77,164/115,745.88 = 50,677.21/x
  3. Step 3: Cross multiply
    77,164x = 115,745.88 × 50,677.21
  4. Step 4: Simplify right side
    77,164x = 5,865,678,267.39
  5. Step 5: Solve for x
    x = 5,865,678,267.39/77,164
  6. Step 6: Final answer
    x = 76,015.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.