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Finding the Fourth Proportional to 76,684.00, 105,826.25 and 41,760.95

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Solution

The fourth proportional to 76,684.00, 105,826.25 and 41,760.95 is: 57,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.00 : 105,826.25 = 41,760.95 : x
  2. Step 2: Convert to fraction form
    76,684.00/105,826.25 = 41,760.95/x
  3. Step 3: Cross multiply
    76,684.00x = 105,826.25 × 41,760.95
  4. Step 4: Simplify right side
    76,684.00x = 4,419,404,310.21
  5. Step 5: Solve for x
    x = 4,419,404,310.21/76,684.00
  6. Step 6: Final answer
    x = 57,631.38

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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.