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Finding the Fourth Proportional to 30,884.67, 42,619.70 and 16,737.21

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Solution

The fourth proportional to 30,884.67, 42,619.70 and 16,737.21 is: 23,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.67 : 42,619.70 = 16,737.21 : x
  2. Step 2: Convert to fraction form
    30,884.67/42,619.70 = 16,737.21/x
  3. Step 3: Cross multiply
    30,884.67x = 42,619.70 × 16,737.21
  4. Step 4: Simplify right side
    30,884.67x = 713,334,910.88
  5. Step 5: Solve for x
    x = 713,334,910.88/30,884.67
  6. Step 6: Final answer
    x = 23,096.73

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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.