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Finding the Fourth Proportional to 52,525.30, 78,787.95 and 19,231.87

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Solution

The fourth proportional to 52,525.30, 78,787.95 and 19,231.87 is: 28,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,525.30 : 78,787.95 = 19,231.87 : x
  2. Step 2: Convert to fraction form
    52,525.30/78,787.95 = 19,231.87/x
  3. Step 3: Cross multiply
    52,525.30x = 78,787.95 × 19,231.87
  4. Step 4: Simplify right side
    52,525.30x = 1,515,239,611.97
  5. Step 5: Solve for x
    x = 1,515,239,611.97/52,525.30
  6. Step 6: Final answer
    x = 28,847.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.