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Finding the Fourth Proportional to 76,453.60, 114,661.20 and 27,194.08

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Solution

The fourth proportional to 76,453.60, 114,661.20 and 27,194.08 is: 40,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453.60 : 114,661.20 = 27,194.08 : x
  2. Step 2: Convert to fraction form
    76,453.60/114,661.20 = 27,194.08/x
  3. Step 3: Cross multiply
    76,453.60x = 114,661.20 × 27,194.08
  4. Step 4: Simplify right side
    76,453.60x = 3,118,105,845.70
  5. Step 5: Solve for x
    x = 3,118,105,845.70/76,453.60
  6. Step 6: Final answer
    x = 40,784.29

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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.