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Finding the Fourth Proportional to 34,096.50, 51,145.39 and 9,473.14

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Solution

The fourth proportional to 34,096.50, 51,145.39 and 9,473.14 is: 14,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096.50 : 51,145.39 = 9,473.14 : x
  2. Step 2: Convert to fraction form
    34,096.50/51,145.39 = 9,473.14/x
  3. Step 3: Cross multiply
    34,096.50x = 51,145.39 × 9,473.14
  4. Step 4: Simplify right side
    34,096.50x = 484,507,439.82
  5. Step 5: Solve for x
    x = 484,507,439.82/34,096.50
  6. Step 6: Final answer
    x = 14,209.89

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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.