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Finding the Fourth Proportional to 55,324.70, 76,347.74 and 31,451.38

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Solution

The fourth proportional to 55,324.70, 76,347.74 and 31,451.38 is: 43,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,324.70 : 76,347.74 = 31,451.38 : x
  2. Step 2: Convert to fraction form
    55,324.70/76,347.74 = 31,451.38/x
  3. Step 3: Cross multiply
    55,324.70x = 76,347.74 × 31,451.38
  4. Step 4: Simplify right side
    55,324.70x = 2,401,241,782.88
  5. Step 5: Solve for x
    x = 2,401,241,782.88/55,324.70
  6. Step 6: Final answer
    x = 43,402.71

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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.