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Finding the Fourth Proportional to 101,441.50, 152,132.50 and 38,216

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Solution

The fourth proportional to 101,441.50, 152,132.50 and 38,216 is: 57,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,441.50 : 152,132.50 = 38,216 : x
  2. Step 2: Convert to fraction form
    101,441.50/152,132.50 = 38,216/x
  3. Step 3: Cross multiply
    101,441.50x = 152,132.50 × 38,216
  4. Step 4: Simplify right side
    101,441.50x = 5,813,895,620
  5. Step 5: Solve for x
    x = 5,813,895,620/101,441.50
  6. Step 6: Final answer
    x = 57,312.79

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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.