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Finding the Fourth Proportional to 71,609.28, 107,415 and 24,863.64

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Solution

The fourth proportional to 71,609.28, 107,415 and 24,863.64 is: 37,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,609.28 : 107,415 = 24,863.64 : x
  2. Step 2: Convert to fraction form
    71,609.28/107,415 = 24,863.64/x
  3. Step 3: Cross multiply
    71,609.28x = 107,415 × 24,863.64
  4. Step 4: Simplify right side
    71,609.28x = 2,670,727,890.60
  5. Step 5: Solve for x
    x = 2,670,727,890.60/71,609.28
  6. Step 6: Final answer
    x = 37,295.83

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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.