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Finding the Fourth Proportional to 104,793.48, 157,136.82 and 51,489

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Solution

The fourth proportional to 104,793.48, 157,136.82 and 51,489 is: 77,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,793.48 : 157,136.82 = 51,489 : x
  2. Step 2: Convert to fraction form
    104,793.48/157,136.82 = 51,489/x
  3. Step 3: Cross multiply
    104,793.48x = 157,136.82 × 51,489
  4. Step 4: Simplify right side
    104,793.48x = 8,090,817,724.98
  5. Step 5: Solve for x
    x = 8,090,817,724.98/104,793.48
  6. Step 6: Final answer
    x = 77,207.26

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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.