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Finding the Fourth Proportional to 103,915.56, 155,872.41 and 32,838.21

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Solution

The fourth proportional to 103,915.56, 155,872.41 and 32,838.21 is: 49,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,915.56 : 155,872.41 = 32,838.21 : x
  2. Step 2: Convert to fraction form
    103,915.56/155,872.41 = 32,838.21/x
  3. Step 3: Cross multiply
    103,915.56x = 155,872.41 × 32,838.21
  4. Step 4: Simplify right side
    103,915.56x = 5,118,571,424.95
  5. Step 5: Solve for x
    x = 5,118,571,424.95/103,915.56
  6. Step 6: Final answer
    x = 49,257.02

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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.