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Finding the Fourth Proportional to 53,072, 73,234.56 and 29,199.68

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Solution

The fourth proportional to 53,072, 73,234.56 and 29,199.68 is: 40,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072 : 73,234.56 = 29,199.68 : x
  2. Step 2: Convert to fraction form
    53,072/73,234.56 = 29,199.68/x
  3. Step 3: Cross multiply
    53,072x = 73,234.56 × 29,199.68
  4. Step 4: Simplify right side
    53,072x = 2,138,425,716.94
  5. Step 5: Solve for x
    x = 2,138,425,716.94/53,072
  6. Step 6: Final answer
    x = 40,292.92

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Why These Related Problems?

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