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Finding the Fourth Proportional to 37,857.36, 56,742.99 and 23,033.61

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Solution

The fourth proportional to 37,857.36, 56,742.99 and 23,033.61 is: 34,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.36 : 56,742.99 = 23,033.61 : x
  2. Step 2: Convert to fraction form
    37,857.36/56,742.99 = 23,033.61/x
  3. Step 3: Cross multiply
    37,857.36x = 56,742.99 × 23,033.61
  4. Step 4: Simplify right side
    37,857.36x = 1,306,995,901.89
  5. Step 5: Solve for x
    x = 1,306,995,901.89/37,857.36
  6. Step 6: Final answer
    x = 34,524.22

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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.