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Finding the Fourth Proportional to 31,920.88, 43,865.76 and 30,457.34

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Solution

The fourth proportional to 31,920.88, 43,865.76 and 30,457.34 is: 41,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.88 : 43,865.76 = 30,457.34 : x
  2. Step 2: Convert to fraction form
    31,920.88/43,865.76 = 30,457.34/x
  3. Step 3: Cross multiply
    31,920.88x = 43,865.76 × 30,457.34
  4. Step 4: Simplify right side
    31,920.88x = 1,336,034,366.68
  5. Step 5: Solve for x
    x = 1,336,034,366.68/31,920.88
  6. Step 6: Final answer
    x = 41,854.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.