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Finding the Fourth Proportional to 70,149.96, 96,791.04 and 41,850

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Solution

The fourth proportional to 70,149.96, 96,791.04 and 41,850 is: 57,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.96 : 96,791.04 = 41,850 : x
  2. Step 2: Convert to fraction form
    70,149.96/96,791.04 = 41,850/x
  3. Step 3: Cross multiply
    70,149.96x = 96,791.04 × 41,850
  4. Step 4: Simplify right side
    70,149.96x = 4,050,705,024.00
  5. Step 5: Solve for x
    x = 4,050,705,024.00/70,149.96
  6. Step 6: Final answer
    x = 57,743.51

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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.