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Finding the Fourth Proportional to 37,830.52, 52,206.24 and 22,723.44

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Solution

The fourth proportional to 37,830.52, 52,206.24 and 22,723.44 is: 31,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.52 : 52,206.24 = 22,723.44 : x
  2. Step 2: Convert to fraction form
    37,830.52/52,206.24 = 22,723.44/x
  3. Step 3: Cross multiply
    37,830.52x = 52,206.24 × 22,723.44
  4. Step 4: Simplify right side
    37,830.52x = 1,186,305,362.27
  5. Step 5: Solve for x
    x = 1,186,305,362.27/37,830.52
  6. Step 6: Final answer
    x = 31,358.42

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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.