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Finding the Fourth Proportional to 31,142.67, 42,963.80 and 21,716.70

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Solution

The fourth proportional to 31,142.67, 42,963.80 and 21,716.70 is: 29,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.67 : 42,963.80 = 21,716.70 : x
  2. Step 2: Convert to fraction form
    31,142.67/42,963.80 = 21,716.70/x
  3. Step 3: Cross multiply
    31,142.67x = 42,963.80 × 21,716.70
  4. Step 4: Simplify right side
    31,142.67x = 933,031,846.88
  5. Step 5: Solve for x
    x = 933,031,846.88/31,142.67
  6. Step 6: Final answer
    x = 29,959.92

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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.