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Finding the Fourth Proportional to 76,270.20, 114,416.10 and 23,674.20

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Solution

The fourth proportional to 76,270.20, 114,416.10 and 23,674.20 is: 35,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,270.20 : 114,416.10 = 23,674.20 : x
  2. Step 2: Convert to fraction form
    76,270.20/114,416.10 = 23,674.20/x
  3. Step 3: Cross multiply
    76,270.20x = 114,416.10 × 23,674.20
  4. Step 4: Simplify right side
    76,270.20x = 2,708,709,634.62
  5. Step 5: Solve for x
    x = 2,708,709,634.62/76,270.20
  6. Step 6: Final answer
    x = 35,514.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.