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Finding the Fourth Proportional to 31,194.30, 46,791.45 and 12,483.30

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Solution

The fourth proportional to 31,194.30, 46,791.45 and 12,483.30 is: 18,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.30 : 46,791.45 = 12,483.30 : x
  2. Step 2: Convert to fraction form
    31,194.30/46,791.45 = 12,483.30/x
  3. Step 3: Cross multiply
    31,194.30x = 46,791.45 × 12,483.30
  4. Step 4: Simplify right side
    31,194.30x = 584,111,707.79
  5. Step 5: Solve for x
    x = 584,111,707.79/31,194.30
  6. Step 6: Final answer
    x = 18,724.95

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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.