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Finding the Fourth Proportional to 29,384.44, 44,082.02 and 9,396.66

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Solution

The fourth proportional to 29,384.44, 44,082.02 and 9,396.66 is: 14,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.44 : 44,082.02 = 9,396.66 : x
  2. Step 2: Convert to fraction form
    29,384.44/44,082.02 = 9,396.66/x
  3. Step 3: Cross multiply
    29,384.44x = 44,082.02 × 9,396.66
  4. Step 4: Simplify right side
    29,384.44x = 414,223,754.05
  5. Step 5: Solve for x
    x = 414,223,754.05/29,384.44
  6. Step 6: Final answer
    x = 14,096.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.