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Finding the Fourth Proportional to 82,514.88, 113,858.19 and 48,520.80

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Solution

The fourth proportional to 82,514.88, 113,858.19 and 48,520.80 is: 66,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,514.88 : 113,858.19 = 48,520.80 : x
  2. Step 2: Convert to fraction form
    82,514.88/113,858.19 = 48,520.80/x
  3. Step 3: Cross multiply
    82,514.88x = 113,858.19 × 48,520.80
  4. Step 4: Simplify right side
    82,514.88x = 5,524,490,465.35
  5. Step 5: Solve for x
    x = 5,524,490,465.35/82,514.88
  6. Step 6: Final answer
    x = 66,951.45

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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.