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Finding the Fourth Proportional to 43,494.56, 65,273.88 and 19,828.88

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Solution

The fourth proportional to 43,494.56, 65,273.88 and 19,828.88 is: 29,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,494.56 : 65,273.88 = 19,828.88 : x
  2. Step 2: Convert to fraction form
    43,494.56/65,273.88 = 19,828.88/x
  3. Step 3: Cross multiply
    43,494.56x = 65,273.88 × 19,828.88
  4. Step 4: Simplify right side
    43,494.56x = 1,294,307,933.65
  5. Step 5: Solve for x
    x = 1,294,307,933.65/43,494.56
  6. Step 6: Final answer
    x = 29,757.93

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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.