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Finding the Fourth Proportional to 70,077, 96,706.32 and 41,799.12

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Solution

The fourth proportional to 70,077, 96,706.32 and 41,799.12 is: 57,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077 : 96,706.32 = 41,799.12 : x
  2. Step 2: Convert to fraction form
    70,077/96,706.32 = 41,799.12/x
  3. Step 3: Cross multiply
    70,077x = 96,706.32 × 41,799.12
  4. Step 4: Simplify right side
    70,077x = 4,042,239,074.44
  5. Step 5: Solve for x
    x = 4,042,239,074.44/70,077
  6. Step 6: Final answer
    x = 57,682.82

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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.