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Finding the Fourth Proportional to 34,259.46, 51,388.44 and 15,791.46

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Solution

The fourth proportional to 34,259.46, 51,388.44 and 15,791.46 is: 23,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259.46 : 51,388.44 = 15,791.46 : x
  2. Step 2: Convert to fraction form
    34,259.46/51,388.44 = 15,791.46/x
  3. Step 3: Cross multiply
    34,259.46x = 51,388.44 × 15,791.46
  4. Step 4: Simplify right side
    34,259.46x = 811,498,494.72
  5. Step 5: Solve for x
    x = 811,498,494.72/34,259.46
  6. Step 6: Final answer
    x = 23,686.84

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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.