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Finding the Fourth Proportional to 71,194.60, 106,783.80 and 18,609.40

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Solution

The fourth proportional to 71,194.60, 106,783.80 and 18,609.40 is: 27,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,194.60 : 106,783.80 = 18,609.40 : x
  2. Step 2: Convert to fraction form
    71,194.60/106,783.80 = 18,609.40/x
  3. Step 3: Cross multiply
    71,194.60x = 106,783.80 × 18,609.40
  4. Step 4: Simplify right side
    71,194.60x = 1,987,182,447.72
  5. Step 5: Solve for x
    x = 1,987,182,447.72/71,194.60
  6. Step 6: Final answer
    x = 27,911.98

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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.