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Finding the Fourth Proportional to 52,051.53, 78,077.09 and 12,608.58

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Solution

The fourth proportional to 52,051.53, 78,077.09 and 12,608.58 is: 18,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.53 : 78,077.09 = 12,608.58 : x
  2. Step 2: Convert to fraction form
    52,051.53/78,077.09 = 12,608.58/x
  3. Step 3: Cross multiply
    52,051.53x = 78,077.09 × 12,608.58
  4. Step 4: Simplify right side
    52,051.53x = 984,441,235.43
  5. Step 5: Solve for x
    x = 984,441,235.43/52,051.53
  6. Step 6: Final answer
    x = 18,912.82

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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.