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Finding the Fourth Proportional to 31,106.38, 46,652.66 and 8,919.66

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Solution

The fourth proportional to 31,106.38, 46,652.66 and 8,919.66 is: 13,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.38 : 46,652.66 = 8,919.66 : x
  2. Step 2: Convert to fraction form
    31,106.38/46,652.66 = 8,919.66/x
  3. Step 3: Cross multiply
    31,106.38x = 46,652.66 × 8,919.66
  4. Step 4: Simplify right side
    31,106.38x = 416,125,865.30
  5. Step 5: Solve for x
    x = 416,125,865.30/31,106.38
  6. Step 6: Final answer
    x = 13,377.51

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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.