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Finding the Fourth Proportional to 30,405.96, 41,960.25 and 16,977.20

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Solution

The fourth proportional to 30,405.96, 41,960.25 and 16,977.20 is: 23,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.96 : 41,960.25 = 16,977.20 : x
  2. Step 2: Convert to fraction form
    30,405.96/41,960.25 = 16,977.20/x
  3. Step 3: Cross multiply
    30,405.96x = 41,960.25 × 16,977.20
  4. Step 4: Simplify right side
    30,405.96x = 712,367,346.50
  5. Step 5: Solve for x
    x = 712,367,346.50/30,405.96
  6. Step 6: Final answer
    x = 23,428.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.