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Finding the Fourth Proportional to 70,414.80, 97,171.86 and 38,583.61

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Solution

The fourth proportional to 70,414.80, 97,171.86 and 38,583.61 is: 53,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.80 : 97,171.86 = 38,583.61 : x
  2. Step 2: Convert to fraction form
    70,414.80/97,171.86 = 38,583.61/x
  3. Step 3: Cross multiply
    70,414.80x = 97,171.86 × 38,583.61
  4. Step 4: Simplify right side
    70,414.80x = 3,749,241,149.21
  5. Step 5: Solve for x
    x = 3,749,241,149.21/70,414.80
  6. Step 6: Final answer
    x = 53,245.07

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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.