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Finding the Fourth Proportional to 31,137.50, 42,969.76 and 19,959.50

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Solution

The fourth proportional to 31,137.50, 42,969.76 and 19,959.50 is: 27,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.50 : 42,969.76 = 19,959.50 : x
  2. Step 2: Convert to fraction form
    31,137.50/42,969.76 = 19,959.50/x
  3. Step 3: Cross multiply
    31,137.50x = 42,969.76 × 19,959.50
  4. Step 4: Simplify right side
    31,137.50x = 857,654,924.72
  5. Step 5: Solve for x
    x = 857,654,924.72/31,137.50
  6. Step 6: Final answer
    x = 27,544.12

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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.