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Finding the Fourth Proportional to 82,573, 113,947.68 and 44,846.44

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Solution

The fourth proportional to 82,573, 113,947.68 and 44,846.44 is: 61,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573 : 113,947.68 = 44,846.44 : x
  2. Step 2: Convert to fraction form
    82,573/113,947.68 = 44,846.44/x
  3. Step 3: Cross multiply
    82,573x = 113,947.68 × 44,846.44
  4. Step 4: Simplify right side
    82,573x = 5,110,147,794.26
  5. Step 5: Solve for x
    x = 5,110,147,794.26/82,573
  6. Step 6: Final answer
    x = 61,886.43

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1.5x scale

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.