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Finding the Fourth Proportional to 33,307.64, 45,964.00 and 18,199.98

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Solution

The fourth proportional to 33,307.64, 45,964.00 and 18,199.98 is: 25,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307.64 : 45,964.00 = 18,199.98 : x
  2. Step 2: Convert to fraction form
    33,307.64/45,964.00 = 18,199.98/x
  3. Step 3: Cross multiply
    33,307.64x = 45,964.00 × 18,199.98
  4. Step 4: Simplify right side
    33,307.64x = 836,543,559.90
  5. Step 5: Solve for x
    x = 836,543,559.90/33,307.64
  6. Step 6: Final answer
    x = 25,115.67

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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.