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Finding the Fourth Proportional to 30,995.50, 46,494.87 and 10,219

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Solution

The fourth proportional to 30,995.50, 46,494.87 and 10,219 is: 15,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995.50 : 46,494.87 = 10,219 : x
  2. Step 2: Convert to fraction form
    30,995.50/46,494.87 = 10,219/x
  3. Step 3: Cross multiply
    30,995.50x = 46,494.87 × 10,219
  4. Step 4: Simplify right side
    30,995.50x = 475,131,076.53
  5. Step 5: Solve for x
    x = 475,131,076.53/30,995.50
  6. Step 6: Final answer
    x = 15,329.03

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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.