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Finding the Fourth Proportional to 82,951.88, 114,476.10 and 45,226.76

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Solution

The fourth proportional to 82,951.88, 114,476.10 and 45,226.76 is: 62,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,951.88 : 114,476.10 = 45,226.76 : x
  2. Step 2: Convert to fraction form
    82,951.88/114,476.10 = 45,226.76/x
  3. Step 3: Cross multiply
    82,951.88x = 114,476.10 × 45,226.76
  4. Step 4: Simplify right side
    82,951.88x = 5,177,383,100.44
  5. Step 5: Solve for x
    x = 5,177,383,100.44/82,951.88
  6. Step 6: Final answer
    x = 62,414.29

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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.