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Finding the Fourth Proportional to 107,559.74, 161,339.44 and 51,229

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Solution

The fourth proportional to 107,559.74, 161,339.44 and 51,229 is: 76,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,559.74 : 161,339.44 = 51,229 : x
  2. Step 2: Convert to fraction form
    107,559.74/161,339.44 = 51,229/x
  3. Step 3: Cross multiply
    107,559.74x = 161,339.44 × 51,229
  4. Step 4: Simplify right side
    107,559.74x = 8,265,257,915.62
  5. Step 5: Solve for x
    x = 8,265,257,915.62/107,559.74
  6. Step 6: Final answer
    x = 76,843.42

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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.