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Finding the Fourth Proportional to 51,559.31, 71,145.51 and 31,408.88

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Solution

The fourth proportional to 51,559.31, 71,145.51 and 31,408.88 is: 43,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,559.31 : 71,145.51 = 31,408.88 : x
  2. Step 2: Convert to fraction form
    51,559.31/71,145.51 = 31,408.88/x
  3. Step 3: Cross multiply
    51,559.31x = 71,145.51 × 31,408.88
  4. Step 4: Simplify right side
    51,559.31x = 2,234,600,430.40
  5. Step 5: Solve for x
    x = 2,234,600,430.40/51,559.31
  6. Step 6: Final answer
    x = 43,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.