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Finding the Fourth Proportional to 34,057.80, 51,072.12 and 10,686.06

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Solution

The fourth proportional to 34,057.80, 51,072.12 and 10,686.06 is: 16,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.80 : 51,072.12 = 10,686.06 : x
  2. Step 2: Convert to fraction form
    34,057.80/51,072.12 = 10,686.06/x
  3. Step 3: Cross multiply
    34,057.80x = 51,072.12 × 10,686.06
  4. Step 4: Simplify right side
    34,057.80x = 545,759,738.65
  5. Step 5: Solve for x
    x = 545,759,738.65/34,057.80
  6. Step 6: Final answer
    x = 16,024.52

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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.