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Finding the Fourth Proportional to 37,892.34, 52,297.38 and 29,807.64

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Solution

The fourth proportional to 37,892.34, 52,297.38 and 29,807.64 is: 41,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892.34 : 52,297.38 = 29,807.64 : x
  2. Step 2: Convert to fraction form
    37,892.34/52,297.38 = 29,807.64/x
  3. Step 3: Cross multiply
    37,892.34x = 52,297.38 × 29,807.64
  4. Step 4: Simplify right side
    37,892.34x = 1,558,861,475.98
  5. Step 5: Solve for x
    x = 1,558,861,475.98/37,892.34
  6. Step 6: Final answer
    x = 41,139.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.