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Finding the Fourth Proportional to 31,719.20, 43,731 and 27,290.52

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Solution

The fourth proportional to 31,719.20, 43,731 and 27,290.52 is: 37,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.20 : 43,731 = 27,290.52 : x
  2. Step 2: Convert to fraction form
    31,719.20/43,731 = 27,290.52/x
  3. Step 3: Cross multiply
    31,719.20x = 43,731 × 27,290.52
  4. Step 4: Simplify right side
    31,719.20x = 1,193,441,730.12
  5. Step 5: Solve for x
    x = 1,193,441,730.12/31,719.20
  6. Step 6: Final answer
    x = 37,625.22

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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.