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Finding the Fourth Proportional to 77,494.96, 116,241.76 and 51,316.80

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Solution

The fourth proportional to 77,494.96, 116,241.76 and 51,316.80 is: 76,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494.96 : 116,241.76 = 51,316.80 : x
  2. Step 2: Convert to fraction form
    77,494.96/116,241.76 = 51,316.80/x
  3. Step 3: Cross multiply
    77,494.96x = 116,241.76 × 51,316.80
  4. Step 4: Simplify right side
    77,494.96x = 5,965,155,149.57
  5. Step 5: Solve for x
    x = 5,965,155,149.57/77,494.96
  6. Step 6: Final answer
    x = 76,974.75

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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.