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Finding the Fourth Proportional to 50,848, 76,199.32 and 22,350.80

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Solution

The fourth proportional to 50,848, 76,199.32 and 22,350.80 is: 33,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,848 : 76,199.32 = 22,350.80 : x
  2. Step 2: Convert to fraction form
    50,848/76,199.32 = 22,350.80/x
  3. Step 3: Cross multiply
    50,848x = 76,199.32 × 22,350.80
  4. Step 4: Simplify right side
    50,848x = 1,703,115,761.46
  5. Step 5: Solve for x
    x = 1,703,115,761.46/50,848
  6. Step 6: Final answer
    x = 33,494.25

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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.