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Finding the Fourth Proportional to 31,131.50, 42,961.48 and 19,953.50

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Solution

The fourth proportional to 31,131.50, 42,961.48 and 19,953.50 is: 27,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131.50 : 42,961.48 = 19,953.50 : x
  2. Step 2: Convert to fraction form
    31,131.50/42,961.48 = 19,953.50/x
  3. Step 3: Cross multiply
    31,131.50x = 42,961.48 × 19,953.50
  4. Step 4: Simplify right side
    31,131.50x = 857,231,891.18
  5. Step 5: Solve for x
    x = 857,231,891.18/31,131.50
  6. Step 6: Final answer
    x = 27,535.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.