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Finding the Fourth Proportional to 82,302, 113,576.76 and 44,576.52

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Solution

The fourth proportional to 82,302, 113,576.76 and 44,576.52 is: 61,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302 : 113,576.76 = 44,576.52 : x
  2. Step 2: Convert to fraction form
    82,302/113,576.76 = 44,576.52/x
  3. Step 3: Cross multiply
    82,302x = 113,576.76 × 44,576.52
  4. Step 4: Simplify right side
    82,302x = 5,062,856,713.68
  5. Step 5: Solve for x
    x = 5,062,856,713.68/82,302
  6. Step 6: Final answer
    x = 61,515.60

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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.