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Finding the Fourth Proportional to 34,049.28, 51,057.12 and 17,406.24

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Solution

The fourth proportional to 34,049.28, 51,057.12 and 17,406.24 is: 26,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.28 : 51,057.12 = 17,406.24 : x
  2. Step 2: Convert to fraction form
    34,049.28/51,057.12 = 17,406.24/x
  3. Step 3: Cross multiply
    34,049.28x = 51,057.12 × 17,406.24
  4. Step 4: Simplify right side
    34,049.28x = 888,712,484.43
  5. Step 5: Solve for x
    x = 888,712,484.43/34,049.28
  6. Step 6: Final answer
    x = 26,100.77

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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.