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Finding the Fourth Proportional to 103,727.70, 155,496.51 and 33,570.90

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Solution

The fourth proportional to 103,727.70, 155,496.51 and 33,570.90 is: 50,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,727.70 : 155,496.51 = 33,570.90 : x
  2. Step 2: Convert to fraction form
    103,727.70/155,496.51 = 33,570.90/x
  3. Step 3: Cross multiply
    103,727.70x = 155,496.51 × 33,570.90
  4. Step 4: Simplify right side
    103,727.70x = 5,220,157,787.56
  5. Step 5: Solve for x
    x = 5,220,157,787.56/103,727.70
  6. Step 6: Final answer
    x = 50,325.59

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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.