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Finding the Fourth Proportional to 31,707.31, 43,785.15 and 20,403.25

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Solution

The fourth proportional to 31,707.31, 43,785.15 and 20,403.25 is: 28,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.31 : 43,785.15 = 20,403.25 : x
  2. Step 2: Convert to fraction form
    31,707.31/43,785.15 = 20,403.25/x
  3. Step 3: Cross multiply
    31,707.31x = 43,785.15 × 20,403.25
  4. Step 4: Simplify right side
    31,707.31x = 893,359,361.74
  5. Step 5: Solve for x
    x = 893,359,361.74/31,707.31
  6. Step 6: Final answer
    x = 28,175.19

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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.