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Finding the Fourth Proportional to 34,016.28, 51,024.33 and 9,056.31

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Solution

The fourth proportional to 34,016.28, 51,024.33 and 9,056.31 is: 13,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016.28 : 51,024.33 = 9,056.31 : x
  2. Step 2: Convert to fraction form
    34,016.28/51,024.33 = 9,056.31/x
  3. Step 3: Cross multiply
    34,016.28x = 51,024.33 × 9,056.31
  4. Step 4: Simplify right side
    34,016.28x = 462,092,150.02
  5. Step 5: Solve for x
    x = 462,092,150.02/34,016.28
  6. Step 6: Final answer
    x = 13,584.44

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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.