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Finding the Fourth Proportional to 52,745, 79,136.96 and 27,784.04

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Solution

The fourth proportional to 52,745, 79,136.96 and 27,784.04 is: 41,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,745 : 79,136.96 = 27,784.04 : x
  2. Step 2: Convert to fraction form
    52,745/79,136.96 = 27,784.04/x
  3. Step 3: Cross multiply
    52,745x = 79,136.96 × 27,784.04
  4. Step 4: Simplify right side
    52,745x = 2,198,744,462.12
  5. Step 5: Solve for x
    x = 2,198,744,462.12/52,745
  6. Step 6: Final answer
    x = 41,686.31

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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.