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Finding the Fourth Proportional to 31,069.72, 42,846.26 and 20,883.72

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Solution

The fourth proportional to 31,069.72, 42,846.26 and 20,883.72 is: 28,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.72 : 42,846.26 = 20,883.72 : x
  2. Step 2: Convert to fraction form
    31,069.72/42,846.26 = 20,883.72/x
  3. Step 3: Cross multiply
    31,069.72x = 42,846.26 × 20,883.72
  4. Step 4: Simplify right side
    31,069.72x = 894,789,296.89
  5. Step 5: Solve for x
    x = 894,789,296.89/31,069.72
  6. Step 6: Final answer
    x = 28,799.40

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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.