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Finding the Fourth Proportional to 76,422.83, 114,639.30 and 20,262.15

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Solution

The fourth proportional to 76,422.83, 114,639.30 and 20,262.15 is: 30,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.83 : 114,639.30 = 20,262.15 : x
  2. Step 2: Convert to fraction form
    76,422.83/114,639.30 = 20,262.15/x
  3. Step 3: Cross multiply
    76,422.83x = 114,639.30 × 20,262.15
  4. Step 4: Simplify right side
    76,422.83x = 2,322,838,692.50
  5. Step 5: Solve for x
    x = 2,322,838,692.50/76,422.83
  6. Step 6: Final answer
    x = 30,394.57

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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.