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Finding the Fourth Proportional to 51,682.34, 71,329.41 and 31,550.93

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Solution

The fourth proportional to 51,682.34, 71,329.41 and 31,550.93 is: 43,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,682.34 : 71,329.41 = 31,550.93 : x
  2. Step 2: Convert to fraction form
    51,682.34/71,329.41 = 31,550.93/x
  3. Step 3: Cross multiply
    51,682.34x = 71,329.41 × 31,550.93
  4. Step 4: Simplify right side
    51,682.34x = 2,250,508,865.20
  5. Step 5: Solve for x
    x = 2,250,508,865.20/51,682.34
  6. Step 6: Final answer
    x = 43,545.03

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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.