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Finding the Fourth Proportional to 30,883.70, 46,321.23 and 10,104.50

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Solution

The fourth proportional to 30,883.70, 46,321.23 and 10,104.50 is: 15,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.70 : 46,321.23 = 10,104.50 : x
  2. Step 2: Convert to fraction form
    30,883.70/46,321.23 = 10,104.50/x
  3. Step 3: Cross multiply
    30,883.70x = 46,321.23 × 10,104.50
  4. Step 4: Simplify right side
    30,883.70x = 468,052,868.54
  5. Step 5: Solve for x
    x = 468,052,868.54/30,883.70
  6. Step 6: Final answer
    x = 15,155.34

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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.