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Finding the Fourth Proportional to 82,149.98, 113,366.97 and 44,424.23

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Solution

The fourth proportional to 82,149.98, 113,366.97 and 44,424.23 is: 61,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.98 : 113,366.97 = 44,424.23 : x
  2. Step 2: Convert to fraction form
    82,149.98/113,366.97 = 44,424.23/x
  3. Step 3: Cross multiply
    82,149.98x = 113,366.97 × 44,424.23
  4. Step 4: Simplify right side
    82,149.98x = 5,036,239,782.85
  5. Step 5: Solve for x
    x = 5,036,239,782.85/82,149.98
  6. Step 6: Final answer
    x = 61,305.43

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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.