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Finding the Fourth Proportional to 107,920.58, 161,788.56 and 41,408.44

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Solution

The fourth proportional to 107,920.58, 161,788.56 and 41,408.44 is: 62,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,920.58 : 161,788.56 = 41,408.44 : x
  2. Step 2: Convert to fraction form
    107,920.58/161,788.56 = 41,408.44/x
  3. Step 3: Cross multiply
    107,920.58x = 161,788.56 × 41,408.44
  4. Step 4: Simplify right side
    107,920.58x = 6,699,411,474.98
  5. Step 5: Solve for x
    x = 6,699,411,474.98/107,920.58
  6. Step 6: Final answer
    x = 62,077.24

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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.