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Finding the Fourth Proportional to 106,314.93, 159,424.40 and 31,408.97

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Solution

The fourth proportional to 106,314.93, 159,424.40 and 31,408.97 is: 47,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.93 : 159,424.40 = 31,408.97 : x
  2. Step 2: Convert to fraction form
    106,314.93/159,424.40 = 31,408.97/x
  3. Step 3: Cross multiply
    106,314.93x = 159,424.40 × 31,408.97
  4. Step 4: Simplify right side
    106,314.93x = 5,007,355,478.27
  5. Step 5: Solve for x
    x = 5,007,355,478.27/106,314.93
  6. Step 6: Final answer
    x = 47,099.27

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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.