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Finding the Fourth Proportional to 83,930.99, 115,826.66 and 47,634.83

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Solution

The fourth proportional to 83,930.99, 115,826.66 and 47,634.83 is: 65,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,930.99 : 115,826.66 = 47,634.83 : x
  2. Step 2: Convert to fraction form
    83,930.99/115,826.66 = 47,634.83/x
  3. Step 3: Cross multiply
    83,930.99x = 115,826.66 × 47,634.83
  4. Step 4: Simplify right side
    83,930.99x = 5,517,383,705.77
  5. Step 5: Solve for x
    x = 5,517,383,705.77/83,930.99
  6. Step 6: Final answer
    x = 65,737.15

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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.