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Finding the Fourth Proportional to 53,135.70, 73,327.14 and 29,262.42

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Solution

The fourth proportional to 53,135.70, 73,327.14 and 29,262.42 is: 40,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,135.70 : 73,327.14 = 29,262.42 : x
  2. Step 2: Convert to fraction form
    53,135.70/73,327.14 = 29,262.42/x
  3. Step 3: Cross multiply
    53,135.70x = 73,327.14 × 29,262.42
  4. Step 4: Simplify right side
    53,135.70x = 2,145,729,568.08
  5. Step 5: Solve for x
    x = 2,145,729,568.08/53,135.70
  6. Step 6: Final answer
    x = 40,382.07

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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.