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Finding the Fourth Proportional to 47,136.38, 65,051.68 and 25,916

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Solution

The fourth proportional to 47,136.38, 65,051.68 and 25,916 is: 35,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,136.38 : 65,051.68 = 25,916 : x
  2. Step 2: Convert to fraction form
    47,136.38/65,051.68 = 25,916/x
  3. Step 3: Cross multiply
    47,136.38x = 65,051.68 × 25,916
  4. Step 4: Simplify right side
    47,136.38x = 1,685,879,338.88
  5. Step 5: Solve for x
    x = 1,685,879,338.88/47,136.38
  6. Step 6: Final answer
    x = 35,765.99

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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.