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Finding the Fourth Proportional to 30,980.75, 42,753.56 and 16,833.56

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Solution

The fourth proportional to 30,980.75, 42,753.56 and 16,833.56 is: 23,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.75 : 42,753.56 = 16,833.56 : x
  2. Step 2: Convert to fraction form
    30,980.75/42,753.56 = 16,833.56/x
  3. Step 3: Cross multiply
    30,980.75x = 42,753.56 × 16,833.56
  4. Step 4: Simplify right side
    30,980.75x = 719,694,319.54
  5. Step 5: Solve for x
    x = 719,694,319.54/30,980.75
  6. Step 6: Final answer
    x = 23,230.37

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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.