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Finding the Fourth Proportional to 55,449.26, 76,511.12 and 31,576.40

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Solution

The fourth proportional to 55,449.26, 76,511.12 and 31,576.40 is: 43,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,449.26 : 76,511.12 = 31,576.40 : x
  2. Step 2: Convert to fraction form
    55,449.26/76,511.12 = 31,576.40/x
  3. Step 3: Cross multiply
    55,449.26x = 76,511.12 × 31,576.40
  4. Step 4: Simplify right side
    55,449.26x = 2,415,945,729.57
  5. Step 5: Solve for x
    x = 2,415,945,729.57/55,449.26
  6. Step 6: Final answer
    x = 43,570.39

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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.