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Finding the Fourth Proportional to 55,382.55, 76,427.72 and 31,183.51

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Solution

The fourth proportional to 55,382.55, 76,427.72 and 31,183.51 is: 43,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.55 : 76,427.72 = 31,183.51 : x
  2. Step 2: Convert to fraction form
    55,382.55/76,427.72 = 31,183.51/x
  3. Step 3: Cross multiply
    55,382.55x = 76,427.72 × 31,183.51
  4. Step 4: Simplify right side
    55,382.55x = 2,383,284,457.79
  5. Step 5: Solve for x
    x = 2,383,284,457.79/55,382.55
  6. Step 6: Final answer
    x = 43,033.13

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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.