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Finding the Fourth Proportional to 83,682.82, 115,502.99 and 47,893.25

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Solution

The fourth proportional to 83,682.82, 115,502.99 and 47,893.25 is: 66,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682.82 : 115,502.99 = 47,893.25 : x
  2. Step 2: Convert to fraction form
    83,682.82/115,502.99 = 47,893.25/x
  3. Step 3: Cross multiply
    83,682.82x = 115,502.99 × 47,893.25
  4. Step 4: Simplify right side
    83,682.82x = 5,531,813,434.96
  5. Step 5: Solve for x
    x = 5,531,813,434.96/83,682.82
  6. Step 6: Final answer
    x = 66,104.53

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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.