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Finding the Fourth Proportional to 41,745, 57,615.50 and 31,656.43

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Solution

The fourth proportional to 41,745, 57,615.50 and 31,656.43 is: 43,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,745 : 57,615.50 = 31,656.43 : x
  2. Step 2: Convert to fraction form
    41,745/57,615.50 = 31,656.43/x
  3. Step 3: Cross multiply
    41,745x = 57,615.50 × 31,656.43
  4. Step 4: Simplify right side
    41,745x = 1,823,901,042.67
  5. Step 5: Solve for x
    x = 1,823,901,042.67/41,745
  6. Step 6: Final answer
    x = 43,691.49

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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.