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Finding the Fourth Proportional to 29,384.95, 44,077.13 and 7,198.45

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Solution

The fourth proportional to 29,384.95, 44,077.13 and 7,198.45 is: 10,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.95 : 44,077.13 = 7,198.45 : x
  2. Step 2: Convert to fraction form
    29,384.95/44,077.13 = 7,198.45/x
  3. Step 3: Cross multiply
    29,384.95x = 44,077.13 × 7,198.45
  4. Step 4: Simplify right side
    29,384.95x = 317,286,760.07
  5. Step 5: Solve for x
    x = 317,286,760.07/29,384.95
  6. Step 6: Final answer
    x = 10,797.59

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