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Finding the Fourth Proportional to 30,406.88, 41,961.02 and 16,978.32

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Solution

The fourth proportional to 30,406.88, 41,961.02 and 16,978.32 is: 23,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.88 : 41,961.02 = 16,978.32 : x
  2. Step 2: Convert to fraction form
    30,406.88/41,961.02 = 16,978.32/x
  3. Step 3: Cross multiply
    30,406.88x = 41,961.02 × 16,978.32
  4. Step 4: Simplify right side
    30,406.88x = 712,427,540.19
  5. Step 5: Solve for x
    x = 712,427,540.19/30,406.88
  6. Step 6: Final answer
    x = 23,429.82

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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.