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Finding the Fourth Proportional to 30,917.46, 42,700.86 and 20,828.24

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Solution

The fourth proportional to 30,917.46, 42,700.86 and 20,828.24 is: 28,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.46 : 42,700.86 = 20,828.24 : x
  2. Step 2: Convert to fraction form
    30,917.46/42,700.86 = 20,828.24/x
  3. Step 3: Cross multiply
    30,917.46x = 42,700.86 × 20,828.24
  4. Step 4: Simplify right side
    30,917.46x = 889,383,546.78
  5. Step 5: Solve for x
    x = 889,383,546.78/30,917.46
  6. Step 6: Final answer
    x = 28,766.38

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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.