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Finding the Fourth Proportional to 106,466.81, 159,694.74 and 31,587.57

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Solution

The fourth proportional to 106,466.81, 159,694.74 and 31,587.57 is: 47,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466.81 : 159,694.74 = 31,587.57 : x
  2. Step 2: Convert to fraction form
    106,466.81/159,694.74 = 31,587.57/x
  3. Step 3: Cross multiply
    106,466.81x = 159,694.74 × 31,587.57
  4. Step 4: Simplify right side
    106,466.81x = 5,044,368,778.38
  5. Step 5: Solve for x
    x = 5,044,368,778.38/106,466.81
  6. Step 6: Final answer
    x = 47,379.73

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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.