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Finding the Fourth Proportional to 51,861.93, 77,766.81 and 30,230.36

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Solution

The fourth proportional to 51,861.93, 77,766.81 and 30,230.36 is: 45,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,861.93 : 77,766.81 = 30,230.36 : x
  2. Step 2: Convert to fraction form
    51,861.93/77,766.81 = 30,230.36/x
  3. Step 3: Cross multiply
    51,861.93x = 77,766.81 × 30,230.36
  4. Step 4: Simplify right side
    51,861.93x = 2,350,918,662.35
  5. Step 5: Solve for x
    x = 2,350,918,662.35/51,861.93
  6. Step 6: Final answer
    x = 45,330.34

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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.