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Finding the Fourth Proportional to 41,412.92, 62,108.94 and 11,830.91

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Solution

The fourth proportional to 41,412.92, 62,108.94 and 11,830.91 is: 17,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412.92 : 62,108.94 = 11,830.91 : x
  2. Step 2: Convert to fraction form
    41,412.92/62,108.94 = 11,830.91/x
  3. Step 3: Cross multiply
    41,412.92x = 62,108.94 × 11,830.91
  4. Step 4: Simplify right side
    41,412.92x = 734,805,279.34
  5. Step 5: Solve for x
    x = 734,805,279.34/41,412.92
  6. Step 6: Final answer
    x = 17,743.38

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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.