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Finding the Fourth Proportional to 82,279.73, 113,543.74 and 48,745.73

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Solution

The fourth proportional to 82,279.73, 113,543.74 and 48,745.73 is: 67,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,279.73 : 113,543.74 = 48,745.73 : x
  2. Step 2: Convert to fraction form
    82,279.73/113,543.74 = 48,745.73/x
  3. Step 3: Cross multiply
    82,279.73x = 113,543.74 × 48,745.73
  4. Step 4: Simplify right side
    82,279.73x = 5,534,772,493.23
  5. Step 5: Solve for x
    x = 5,534,772,493.23/82,279.73
  6. Step 6: Final answer
    x = 67,267.75

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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.