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Finding the Fourth Proportional to 92,122.49, 127,136.51 and 51,833.90

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Solution

The fourth proportional to 92,122.49, 127,136.51 and 51,833.90 is: 71,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,122.49 : 127,136.51 = 51,833.90 : x
  2. Step 2: Convert to fraction form
    92,122.49/127,136.51 = 51,833.90/x
  3. Step 3: Cross multiply
    92,122.49x = 127,136.51 × 51,833.90
  4. Step 4: Simplify right side
    92,122.49x = 6,589,981,145.69
  5. Step 5: Solve for x
    x = 6,589,981,145.69/92,122.49
  6. Step 6: Final answer
    x = 71,534.99

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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.