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Finding the Fourth Proportional to 34,040.82, 51,053.40 and 12,983.25

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Solution

The fourth proportional to 34,040.82, 51,053.40 and 12,983.25 is: 19,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040.82 : 51,053.40 = 12,983.25 : x
  2. Step 2: Convert to fraction form
    34,040.82/51,053.40 = 12,983.25/x
  3. Step 3: Cross multiply
    34,040.82x = 51,053.40 × 12,983.25
  4. Step 4: Simplify right side
    34,040.82x = 662,839,055.55
  5. Step 5: Solve for x
    x = 662,839,055.55/34,040.82
  6. Step 6: Final answer
    x = 19,471.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.