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Finding the Fourth Proportional to 50,308.44, 69,422.94 and 27,951

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Solution

The fourth proportional to 50,308.44, 69,422.94 and 27,951 is: 38,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308.44 : 69,422.94 = 27,951 : x
  2. Step 2: Convert to fraction form
    50,308.44/69,422.94 = 27,951/x
  3. Step 3: Cross multiply
    50,308.44x = 69,422.94 × 27,951
  4. Step 4: Simplify right side
    50,308.44x = 1,940,440,595.94
  5. Step 5: Solve for x
    x = 1,940,440,595.94/50,308.44
  6. Step 6: Final answer
    x = 38,570.88

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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.