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Finding the Fourth Proportional to 34,394.65, 51,583.31 and 13,327.46

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Solution

The fourth proportional to 34,394.65, 51,583.31 and 13,327.46 is: 19,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394.65 : 51,583.31 = 13,327.46 : x
  2. Step 2: Convert to fraction form
    34,394.65/51,583.31 = 13,327.46/x
  3. Step 3: Cross multiply
    34,394.65x = 51,583.31 × 13,327.46
  4. Step 4: Simplify right side
    34,394.65x = 687,474,494.52
  5. Step 5: Solve for x
    x = 687,474,494.52/34,394.65
  6. Step 6: Final answer
    x = 19,987.83

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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.