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Finding the Fourth Proportional to 38,439, 57,668.22 and 10,737

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Solution

The fourth proportional to 38,439, 57,668.22 and 10,737 is: 16,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439 : 57,668.22 = 10,737 : x
  2. Step 2: Convert to fraction form
    38,439/57,668.22 = 10,737/x
  3. Step 3: Cross multiply
    38,439x = 57,668.22 × 10,737
  4. Step 4: Simplify right side
    38,439x = 619,183,678.14
  5. Step 5: Solve for x
    x = 619,183,678.14/38,439
  6. Step 6: Final answer
    x = 16,108.22

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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.