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Finding the Fourth Proportional to 82,876.58, 114,383.40 and 48,893.38

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Solution

The fourth proportional to 82,876.58, 114,383.40 and 48,893.38 is: 67,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.58 : 114,383.40 = 48,893.38 : x
  2. Step 2: Convert to fraction form
    82,876.58/114,383.40 = 48,893.38/x
  3. Step 3: Cross multiply
    82,876.58x = 114,383.40 × 48,893.38
  4. Step 4: Simplify right side
    82,876.58x = 5,592,591,083.38
  5. Step 5: Solve for x
    x = 5,592,591,083.38/82,876.58
  6. Step 6: Final answer
    x = 67,480.96

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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.