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Finding the Fourth Proportional to 34,341.97, 51,520.32 and 10,649.00

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Solution

The fourth proportional to 34,341.97, 51,520.32 and 10,649.00 is: 15,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,341.97 : 51,520.32 = 10,649.00 : x
  2. Step 2: Convert to fraction form
    34,341.97/51,520.32 = 10,649.00/x
  3. Step 3: Cross multiply
    34,341.97x = 51,520.32 × 10,649.00
  4. Step 4: Simplify right side
    34,341.97x = 548,639,993.56
  5. Step 5: Solve for x
    x = 548,639,993.56/34,341.97
  6. Step 6: Final answer
    x = 15,975.79

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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.