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Finding the Fourth Proportional to 49,161.60, 73,667.60 and 36,022.64

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Solution

The fourth proportional to 49,161.60, 73,667.60 and 36,022.64 is: 53,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,161.60 : 73,667.60 = 36,022.64 : x
  2. Step 2: Convert to fraction form
    49,161.60/73,667.60 = 36,022.64/x
  3. Step 3: Cross multiply
    49,161.60x = 73,667.60 × 36,022.64
  4. Step 4: Simplify right side
    49,161.60x = 2,653,701,434.46
  5. Step 5: Solve for x
    x = 2,653,701,434.46/49,161.60
  6. Step 6: Final answer
    x = 53,979.15

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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.