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Finding the Fourth Proportional to 55,346.12, 76,379.94 and 31,477

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Solution

The fourth proportional to 55,346.12, 76,379.94 and 31,477 is: 43,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,346.12 : 76,379.94 = 31,477 : x
  2. Step 2: Convert to fraction form
    55,346.12/76,379.94 = 31,477/x
  3. Step 3: Cross multiply
    55,346.12x = 76,379.94 × 31,477
  4. Step 4: Simplify right side
    55,346.12x = 2,404,211,371.38
  5. Step 5: Solve for x
    x = 2,404,211,371.38/55,346.12
  6. Step 6: Final answer
    x = 43,439.56

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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.