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Finding the Fourth Proportional to 50,102.06, 75,156.73 and 16,821.84

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Solution

The fourth proportional to 50,102.06, 75,156.73 and 16,821.84 is: 25,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.06 : 75,156.73 = 16,821.84 : x
  2. Step 2: Convert to fraction form
    50,102.06/75,156.73 = 16,821.84/x
  3. Step 3: Cross multiply
    50,102.06x = 75,156.73 × 16,821.84
  4. Step 4: Simplify right side
    50,102.06x = 1,264,274,486.98
  5. Step 5: Solve for x
    x = 1,264,274,486.98/50,102.06
  6. Step 6: Final answer
    x = 25,233.98

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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.