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Finding the Fourth Proportional to 33,084, 45,658.80 and 18,182.88

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Solution

The fourth proportional to 33,084, 45,658.80 and 18,182.88 is: 25,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084 : 45,658.80 = 18,182.88 : x
  2. Step 2: Convert to fraction form
    33,084/45,658.80 = 18,182.88/x
  3. Step 3: Cross multiply
    33,084x = 45,658.80 × 18,182.88
  4. Step 4: Simplify right side
    33,084x = 830,208,481.34
  5. Step 5: Solve for x
    x = 830,208,481.34/33,084
  6. Step 6: Final answer
    x = 25,093.96

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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.