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Finding the Fourth Proportional to 34,057.97, 51,095.15 and 10,684.41

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Solution

The fourth proportional to 34,057.97, 51,095.15 and 10,684.41 is: 16,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.97 : 51,095.15 = 10,684.41 : x
  2. Step 2: Convert to fraction form
    34,057.97/51,095.15 = 10,684.41/x
  3. Step 3: Cross multiply
    34,057.97x = 51,095.15 × 10,684.41
  4. Step 4: Simplify right side
    34,057.97x = 545,921,386.75
  5. Step 5: Solve for x
    x = 545,921,386.75/34,057.97
  6. Step 6: Final answer
    x = 16,029.18

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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.