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Finding the Fourth Proportional to 33,199, 45,814.02 and 18,091.80

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Solution

The fourth proportional to 33,199, 45,814.02 and 18,091.80 is: 24,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199 : 45,814.02 = 18,091.80 : x
  2. Step 2: Convert to fraction form
    33,199/45,814.02 = 18,091.80/x
  3. Step 3: Cross multiply
    33,199x = 45,814.02 × 18,091.80
  4. Step 4: Simplify right side
    33,199x = 828,857,857.97
  5. Step 5: Solve for x
    x = 828,857,857.97/33,199
  6. Step 6: Final answer
    x = 24,966.35

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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.