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Finding the Fourth Proportional to 70,613.15, 105,919.65 and 18,022.64

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Solution

The fourth proportional to 70,613.15, 105,919.65 and 18,022.64 is: 27,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,613.15 : 105,919.65 = 18,022.64 : x
  2. Step 2: Convert to fraction form
    70,613.15/105,919.65 = 18,022.64/x
  3. Step 3: Cross multiply
    70,613.15x = 105,919.65 × 18,022.64
  4. Step 4: Simplify right side
    70,613.15x = 1,908,951,191.28
  5. Step 5: Solve for x
    x = 1,908,951,191.28/70,613.15
  6. Step 6: Final answer
    x = 27,033.94

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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.