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Finding the Fourth Proportional to 76,975.60, 115,405.80 and 41,954.80

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Solution

The fourth proportional to 76,975.60, 115,405.80 and 41,954.80 is: 62,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,975.60 : 115,405.80 = 41,954.80 : x
  2. Step 2: Convert to fraction form
    76,975.60/115,405.80 = 41,954.80/x
  3. Step 3: Cross multiply
    76,975.60x = 115,405.80 × 41,954.80
  4. Step 4: Simplify right side
    76,975.60x = 4,841,827,257.84
  5. Step 5: Solve for x
    x = 4,841,827,257.84/76,975.60
  6. Step 6: Final answer
    x = 62,900.81

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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.