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Finding the Fourth Proportional to 30,808, 42,514.86 and 16,660.80

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Solution

The fourth proportional to 30,808, 42,514.86 and 16,660.80 is: 22,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808 : 42,514.86 = 16,660.80 : x
  2. Step 2: Convert to fraction form
    30,808/42,514.86 = 16,660.80/x
  3. Step 3: Cross multiply
    30,808x = 42,514.86 × 16,660.80
  4. Step 4: Simplify right side
    30,808x = 708,331,579.49
  5. Step 5: Solve for x
    x = 708,331,579.49/30,808
  6. Step 6: Final answer
    x = 22,991.81

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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.