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Finding the Fourth Proportional to 52,102.86, 78,153.21 and 33,391.98

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Solution

The fourth proportional to 52,102.86, 78,153.21 and 33,391.98 is: 50,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.86 : 78,153.21 = 33,391.98 : x
  2. Step 2: Convert to fraction form
    52,102.86/78,153.21 = 33,391.98/x
  3. Step 3: Cross multiply
    52,102.86x = 78,153.21 × 33,391.98
  4. Step 4: Simplify right side
    52,102.86x = 2,609,690,425.26
  5. Step 5: Solve for x
    x = 2,609,690,425.26/52,102.86
  6. Step 6: Final answer
    x = 50,087.28

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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.