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Finding the Fourth Proportional to 70,854.24, 97,771.61 and 43,626

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Solution

The fourth proportional to 70,854.24, 97,771.61 and 43,626 is: 60,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.24 : 97,771.61 = 43,626 : x
  2. Step 2: Convert to fraction form
    70,854.24/97,771.61 = 43,626/x
  3. Step 3: Cross multiply
    70,854.24x = 97,771.61 × 43,626
  4. Step 4: Simplify right side
    70,854.24x = 4,265,384,257.86
  5. Step 5: Solve for x
    x = 4,265,384,257.86/70,854.24
  6. Step 6: Final answer
    x = 60,199.42

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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.