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Finding the Fourth Proportional to 76,414.17, 114,615.82 and 20,253.03

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Solution

The fourth proportional to 76,414.17, 114,615.82 and 20,253.03 is: 30,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414.17 : 114,615.82 = 20,253.03 : x
  2. Step 2: Convert to fraction form
    76,414.17/114,615.82 = 20,253.03/x
  3. Step 3: Cross multiply
    76,414.17x = 114,615.82 × 20,253.03
  4. Step 4: Simplify right side
    76,414.17x = 2,321,317,640.93
  5. Step 5: Solve for x
    x = 2,321,317,640.93/76,414.17
  6. Step 6: Final answer
    x = 30,378.10

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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.