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Finding the Fourth Proportional to 101,571.76, 152,315.52 and 38,380.96

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Solution

The fourth proportional to 101,571.76, 152,315.52 and 38,380.96 is: 57,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,571.76 : 152,315.52 = 38,380.96 : x
  2. Step 2: Convert to fraction form
    101,571.76/152,315.52 = 38,380.96/x
  3. Step 3: Cross multiply
    101,571.76x = 152,315.52 × 38,380.96
  4. Step 4: Simplify right side
    101,571.76x = 5,846,015,880.50
  5. Step 5: Solve for x
    x = 5,846,015,880.50/101,571.76
  6. Step 6: Final answer
    x = 57,555.52

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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.