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Finding the Fourth Proportional to 53,072.34, 73,238.80 and 29,199.42

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Solution

The fourth proportional to 53,072.34, 73,238.80 and 29,199.42 is: 40,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072.34 : 73,238.80 = 29,199.42 : x
  2. Step 2: Convert to fraction form
    53,072.34/73,238.80 = 29,199.42/x
  3. Step 3: Cross multiply
    53,072.34x = 73,238.80 × 29,199.42
  4. Step 4: Simplify right side
    53,072.34x = 2,138,530,060.85
  5. Step 5: Solve for x
    x = 2,138,530,060.85/53,072.34
  6. Step 6: Final answer
    x = 40,294.62

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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.