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Finding the Fourth Proportional to 31,398.56, 43,334.16 and 20,252.96

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Solution

The fourth proportional to 31,398.56, 43,334.16 and 20,252.96 is: 27,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.56 : 43,334.16 = 20,252.96 : x
  2. Step 2: Convert to fraction form
    31,398.56/43,334.16 = 20,252.96/x
  3. Step 3: Cross multiply
    31,398.56x = 43,334.16 × 20,252.96
  4. Step 4: Simplify right side
    31,398.56x = 877,645,009.11
  5. Step 5: Solve for x
    x = 877,645,009.11/31,398.56
  6. Step 6: Final answer
    x = 27,951.76

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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.