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Finding the Fourth Proportional to 31,435.76, 43,379.64 and 17,286.32

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Solution

The fourth proportional to 31,435.76, 43,379.64 and 17,286.32 is: 23,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.76 : 43,379.64 = 17,286.32 : x
  2. Step 2: Convert to fraction form
    31,435.76/43,379.64 = 17,286.32/x
  3. Step 3: Cross multiply
    31,435.76x = 43,379.64 × 17,286.32
  4. Step 4: Simplify right side
    31,435.76x = 749,874,338.52
  5. Step 5: Solve for x
    x = 749,874,338.52/31,435.76
  6. Step 6: Final answer
    x = 23,854.18

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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.