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Finding the Fourth Proportional to 76,675.60, 115,144.60 and 41,683.60

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Solution

The fourth proportional to 76,675.60, 115,144.60 and 41,683.60 is: 62,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.60 : 115,144.60 = 41,683.60 : x
  2. Step 2: Convert to fraction form
    76,675.60/115,144.60 = 41,683.60/x
  3. Step 3: Cross multiply
    76,675.60x = 115,144.60 × 41,683.60
  4. Step 4: Simplify right side
    76,675.60x = 4,799,641,448.56
  5. Step 5: Solve for x
    x = 4,799,641,448.56/76,675.60
  6. Step 6: Final answer
    x = 62,596.73

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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.