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Finding the Fourth Proportional to 76,610.40, 114,919.20 and 24,021.60

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Solution

The fourth proportional to 76,610.40, 114,919.20 and 24,021.60 is: 36,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.40 : 114,919.20 = 24,021.60 : x
  2. Step 2: Convert to fraction form
    76,610.40/114,919.20 = 24,021.60/x
  3. Step 3: Cross multiply
    76,610.40x = 114,919.20 × 24,021.60
  4. Step 4: Simplify right side
    76,610.40x = 2,760,543,054.72
  5. Step 5: Solve for x
    x = 2,760,543,054.72/76,610.40
  6. Step 6: Final answer
    x = 36,033.53

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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.