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Finding the Fourth Proportional to 76,996.52, 115,504.50 and 24,387.20

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Solution

The fourth proportional to 76,996.52, 115,504.50 and 24,387.20 is: 36,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996.52 : 115,504.50 = 24,387.20 : x
  2. Step 2: Convert to fraction form
    76,996.52/115,504.50 = 24,387.20/x
  3. Step 3: Cross multiply
    76,996.52x = 115,504.50 × 24,387.20
  4. Step 4: Simplify right side
    76,996.52x = 2,816,831,342.40
  5. Step 5: Solve for x
    x = 2,816,831,342.40/76,996.52
  6. Step 6: Final answer
    x = 36,583.88

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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.