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Finding the Fourth Proportional to 76,741, 115,110.68 and 29,993.46

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Solution

The fourth proportional to 76,741, 115,110.68 and 29,993.46 is: 44,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,741 : 115,110.68 = 29,993.46 : x
  2. Step 2: Convert to fraction form
    76,741/115,110.68 = 29,993.46/x
  3. Step 3: Cross multiply
    76,741x = 115,110.68 × 29,993.46
  4. Step 4: Simplify right side
    76,741x = 3,452,567,576.15
  5. Step 5: Solve for x
    x = 3,452,567,576.15/76,741
  6. Step 6: Final answer
    x = 44,989.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.