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Finding the Fourth Proportional to 31,191.71, 43,014.80 and 20,420.51

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Solution

The fourth proportional to 31,191.71, 43,014.80 and 20,420.51 is: 28,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.71 : 43,014.80 = 20,420.51 : x
  2. Step 2: Convert to fraction form
    31,191.71/43,014.80 = 20,420.51/x
  3. Step 3: Cross multiply
    31,191.71x = 43,014.80 × 20,420.51
  4. Step 4: Simplify right side
    31,191.71x = 878,383,989.53
  5. Step 5: Solve for x
    x = 878,383,989.53/31,191.71
  6. Step 6: Final answer
    x = 28,160.82

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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.