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Finding the Fourth Proportional to 34,576, 47,723.52 and 19,680.64

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Solution

The fourth proportional to 34,576, 47,723.52 and 19,680.64 is: 27,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,576 : 47,723.52 = 19,680.64 : x
  2. Step 2: Convert to fraction form
    34,576/47,723.52 = 19,680.64/x
  3. Step 3: Cross multiply
    34,576x = 47,723.52 × 19,680.64
  4. Step 4: Simplify right side
    34,576x = 939,229,416.65
  5. Step 5: Solve for x
    x = 939,229,416.65/34,576
  6. Step 6: Final answer
    x = 27,164.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.