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Finding the Fourth Proportional to 57,121.32, 78,826.82 and 31,971

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Solution

The fourth proportional to 57,121.32, 78,826.82 and 31,971 is: 44,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,121.32 : 78,826.82 = 31,971 : x
  2. Step 2: Convert to fraction form
    57,121.32/78,826.82 = 31,971/x
  3. Step 3: Cross multiply
    57,121.32x = 78,826.82 × 31,971
  4. Step 4: Simplify right side
    57,121.32x = 2,520,172,262.22
  5. Step 5: Solve for x
    x = 2,520,172,262.22/57,121.32
  6. Step 6: Final answer
    x = 44,119.64

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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.