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Finding the Fourth Proportional to 31,675.60, 43,693.32 and 20,920.49

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Solution

The fourth proportional to 31,675.60, 43,693.32 and 20,920.49 is: 28,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.60 : 43,693.32 = 20,920.49 : x
  2. Step 2: Convert to fraction form
    31,675.60/43,693.32 = 20,920.49/x
  3. Step 3: Cross multiply
    31,675.60x = 43,693.32 × 20,920.49
  4. Step 4: Simplify right side
    31,675.60x = 914,085,559.52
  5. Step 5: Solve for x
    x = 914,085,559.52/31,675.60
  6. Step 6: Final answer
    x = 28,857.72

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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.