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Finding the Fourth Proportional to 49,136.20, 67,808.20 and 27,916.64

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Solution

The fourth proportional to 49,136.20, 67,808.20 and 27,916.64 is: 38,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136.20 : 67,808.20 = 27,916.64 : x
  2. Step 2: Convert to fraction form
    49,136.20/67,808.20 = 27,916.64/x
  3. Step 3: Cross multiply
    49,136.20x = 67,808.20 × 27,916.64
  4. Step 4: Simplify right side
    49,136.20x = 1,892,977,108.45
  5. Step 5: Solve for x
    x = 1,892,977,108.45/49,136.20
  6. Step 6: Final answer
    x = 38,525.10

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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.