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Finding the Fourth Proportional to 82,579.30, 114,006.72 and 54,367

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Solution

The fourth proportional to 82,579.30, 114,006.72 and 54,367 is: 75,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,579.30 : 114,006.72 = 54,367 : x
  2. Step 2: Convert to fraction form
    82,579.30/114,006.72 = 54,367/x
  3. Step 3: Cross multiply
    82,579.30x = 114,006.72 × 54,367
  4. Step 4: Simplify right side
    82,579.30x = 6,198,203,346.24
  5. Step 5: Solve for x
    x = 6,198,203,346.24/82,579.30
  6. Step 6: Final answer
    x = 75,057.59

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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.