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Finding the Fourth Proportional to 37,996.30, 56,997.69 and 9,920.08

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Solution

The fourth proportional to 37,996.30, 56,997.69 and 9,920.08 is: 14,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,996.30 : 56,997.69 = 9,920.08 : x
  2. Step 2: Convert to fraction form
    37,996.30/56,997.69 = 9,920.08/x
  3. Step 3: Cross multiply
    37,996.30x = 56,997.69 × 9,920.08
  4. Step 4: Simplify right side
    37,996.30x = 565,421,644.62
  5. Step 5: Solve for x
    x = 565,421,644.62/37,996.30
  6. Step 6: Final answer
    x = 14,880.97

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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.