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Finding the Fourth Proportional to 55,631.46, 82,950.97 and 49,449.54

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Solution

The fourth proportional to 55,631.46, 82,950.97 and 49,449.54 is: 73,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,631.46 : 82,950.97 = 49,449.54 : x
  2. Step 2: Convert to fraction form
    55,631.46/82,950.97 = 49,449.54/x
  3. Step 3: Cross multiply
    55,631.46x = 82,950.97 × 49,449.54
  4. Step 4: Simplify right side
    55,631.46x = 4,101,887,185.43
  5. Step 5: Solve for x
    x = 4,101,887,185.43/55,631.46
  6. Step 6: Final answer
    x = 73,733.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.