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Finding the Fourth Proportional to 41,209.60, 61,814.40 and 34,794.40

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Solution

The fourth proportional to 41,209.60, 61,814.40 and 34,794.40 is: 52,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209.60 : 61,814.40 = 34,794.40 : x
  2. Step 2: Convert to fraction form
    41,209.60/61,814.40 = 34,794.40/x
  3. Step 3: Cross multiply
    41,209.60x = 61,814.40 × 34,794.40
  4. Step 4: Simplify right side
    41,209.60x = 2,150,794,959.36
  5. Step 5: Solve for x
    x = 2,150,794,959.36/41,209.60
  6. Step 6: Final answer
    x = 52,191.60

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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.