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Finding the Fourth Proportional to 55,382.36, 76,425 and 31,506.80

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Solution

The fourth proportional to 55,382.36, 76,425 and 31,506.80 is: 43,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.36 : 76,425 = 31,506.80 : x
  2. Step 2: Convert to fraction form
    55,382.36/76,425 = 31,506.80/x
  3. Step 3: Cross multiply
    55,382.36x = 76,425 × 31,506.80
  4. Step 4: Simplify right side
    55,382.36x = 2,407,907,190
  5. Step 5: Solve for x
    x = 2,407,907,190/55,382.36
  6. Step 6: Final answer
    x = 43,477.87

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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.