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Finding the Fourth Proportional to 34,056.33, 51,086.88 and 9,096.27

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Solution

The fourth proportional to 34,056.33, 51,086.88 and 9,096.27 is: 13,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056.33 : 51,086.88 = 9,096.27 : x
  2. Step 2: Convert to fraction form
    34,056.33/51,086.88 = 9,096.27/x
  3. Step 3: Cross multiply
    34,056.33x = 51,086.88 × 9,096.27
  4. Step 4: Simplify right side
    34,056.33x = 464,700,053.94
  5. Step 5: Solve for x
    x = 464,700,053.94/34,056.33
  6. Step 6: Final answer
    x = 13,645.04

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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.