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Finding the Fourth Proportional to 53,122.67, 79,674.78 and 19,843.02

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Solution

The fourth proportional to 53,122.67, 79,674.78 and 19,843.02 is: 29,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122.67 : 79,674.78 = 19,843.02 : x
  2. Step 2: Convert to fraction form
    53,122.67/79,674.78 = 19,843.02/x
  3. Step 3: Cross multiply
    53,122.67x = 79,674.78 × 19,843.02
  4. Step 4: Simplify right side
    53,122.67x = 1,580,988,327.45
  5. Step 5: Solve for x
    x = 1,580,988,327.45/53,122.67
  6. Step 6: Final answer
    x = 29,761.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.