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Finding the Fourth Proportional to 54,689.82, 82,034.88 and 31,299.84

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Solution

The fourth proportional to 54,689.82, 82,034.88 and 31,299.84 is: 46,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.82 : 82,034.88 = 31,299.84 : x
  2. Step 2: Convert to fraction form
    54,689.82/82,034.88 = 31,299.84/x
  3. Step 3: Cross multiply
    54,689.82x = 82,034.88 × 31,299.84
  4. Step 4: Simplify right side
    54,689.82x = 2,567,678,618.42
  5. Step 5: Solve for x
    x = 2,567,678,618.42/54,689.82
  6. Step 6: Final answer
    x = 46,949.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.