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Finding the Fourth Proportional to 31,042.80, 46,573.92 and 19,962

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Solution

The fourth proportional to 31,042.80, 46,573.92 and 19,962 is: 29,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.80 : 46,573.92 = 19,962 : x
  2. Step 2: Convert to fraction form
    31,042.80/46,573.92 = 19,962/x
  3. Step 3: Cross multiply
    31,042.80x = 46,573.92 × 19,962
  4. Step 4: Simplify right side
    31,042.80x = 929,708,591.04
  5. Step 5: Solve for x
    x = 929,708,591.04/31,042.80
  6. Step 6: Final answer
    x = 29,949.25

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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.