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Finding the Fourth Proportional to 31,102.58, 46,673.22 and 12,634.58

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Solution

The fourth proportional to 31,102.58, 46,673.22 and 12,634.58 is: 18,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.58 : 46,673.22 = 12,634.58 : x
  2. Step 2: Convert to fraction form
    31,102.58/46,673.22 = 12,634.58/x
  3. Step 3: Cross multiply
    31,102.58x = 46,673.22 × 12,634.58
  4. Step 4: Simplify right side
    31,102.58x = 589,696,531.95
  5. Step 5: Solve for x
    x = 589,696,531.95/31,102.58
  6. Step 6: Final answer
    x = 18,959.73

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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.