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Finding the Fourth Proportional to 53,136, 73,327.68 and 29,262.62

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Solution

The fourth proportional to 53,136, 73,327.68 and 29,262.62 is: 40,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,136 : 73,327.68 = 29,262.62 : x
  2. Step 2: Convert to fraction form
    53,136/73,327.68 = 29,262.62/x
  3. Step 3: Cross multiply
    53,136x = 73,327.68 × 29,262.62
  4. Step 4: Simplify right side
    53,136x = 2,145,760,218.64
  5. Step 5: Solve for x
    x = 2,145,760,218.64/53,136
  6. Step 6: Final answer
    x = 40,382.42

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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.