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Finding the Fourth Proportional to 76,276.80, 114,436.80 and 23,691.60

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Solution

The fourth proportional to 76,276.80, 114,436.80 and 23,691.60 is: 35,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,276.80 : 114,436.80 = 23,691.60 : x
  2. Step 2: Convert to fraction form
    76,276.80/114,436.80 = 23,691.60/x
  3. Step 3: Cross multiply
    76,276.80x = 114,436.80 × 23,691.60
  4. Step 4: Simplify right side
    76,276.80x = 2,711,190,890.88
  5. Step 5: Solve for x
    x = 2,711,190,890.88/76,276.80
  6. Step 6: Final answer
    x = 35,544.11

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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.