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Finding the Fourth Proportional to 84,595.73, 116,734.32 and 48,778.82

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Solution

The fourth proportional to 84,595.73, 116,734.32 and 48,778.82 is: 67,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,595.73 : 116,734.32 = 48,778.82 : x
  2. Step 2: Convert to fraction form
    84,595.73/116,734.32 = 48,778.82/x
  3. Step 3: Cross multiply
    84,595.73x = 116,734.32 × 48,778.82
  4. Step 4: Simplify right side
    84,595.73x = 5,694,161,799.43
  5. Step 5: Solve for x
    x = 5,694,161,799.43/84,595.73
  6. Step 6: Final answer
    x = 67,310.28

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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.