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Finding the Fourth Proportional to 31,023.25, 46,550.25 and 12,302.88

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Solution

The fourth proportional to 31,023.25, 46,550.25 and 12,302.88 is: 18,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.25 : 46,550.25 = 12,302.88 : x
  2. Step 2: Convert to fraction form
    31,023.25/46,550.25 = 12,302.88/x
  3. Step 3: Cross multiply
    31,023.25x = 46,550.25 × 12,302.88
  4. Step 4: Simplify right side
    31,023.25x = 572,701,906.97
  5. Step 5: Solve for x
    x = 572,701,906.97/31,023.25
  6. Step 6: Final answer
    x = 18,460.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.