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Finding the Fourth Proportional to 37,998.10, 56,997.14 and 10,296.10

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Solution

The fourth proportional to 37,998.10, 56,997.14 and 10,296.10 is: 15,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998.10 : 56,997.14 = 10,296.10 : x
  2. Step 2: Convert to fraction form
    37,998.10/56,997.14 = 10,296.10/x
  3. Step 3: Cross multiply
    37,998.10x = 56,997.14 × 10,296.10
  4. Step 4: Simplify right side
    37,998.10x = 586,848,253.15
  5. Step 5: Solve for x
    x = 586,848,253.15/37,998.10
  6. Step 6: Final answer
    x = 15,444.15

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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.