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Finding the Fourth Proportional to 55,401.66, 76,460.31 and 34,180.38

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Solution

The fourth proportional to 55,401.66, 76,460.31 and 34,180.38 is: 47,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,401.66 : 76,460.31 = 34,180.38 : x
  2. Step 2: Convert to fraction form
    55,401.66/76,460.31 = 34,180.38/x
  3. Step 3: Cross multiply
    55,401.66x = 76,460.31 × 34,180.38
  4. Step 4: Simplify right side
    55,401.66x = 2,613,442,450.72
  5. Step 5: Solve for x
    x = 2,613,442,450.72/55,401.66
  6. Step 6: Final answer
    x = 47,172.64

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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.