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Finding the Fourth Proportional to 51,402.34, 70,938.89 and 31,255.48

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Solution

The fourth proportional to 51,402.34, 70,938.89 and 31,255.48 is: 43,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.34 : 70,938.89 = 31,255.48 : x
  2. Step 2: Convert to fraction form
    51,402.34/70,938.89 = 31,255.48/x
  3. Step 3: Cross multiply
    51,402.34x = 70,938.89 × 31,255.48
  4. Step 4: Simplify right side
    51,402.34x = 2,217,229,057.62
  5. Step 5: Solve for x
    x = 2,217,229,057.62/51,402.34
  6. Step 6: Final answer
    x = 43,134.79

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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.