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Finding the Fourth Proportional to 71,707.29, 98,939.75 and 41,491.86

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Solution

The fourth proportional to 71,707.29, 98,939.75 and 41,491.86 is: 57,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707.29 : 98,939.75 = 41,491.86 : x
  2. Step 2: Convert to fraction form
    71,707.29/98,939.75 = 41,491.86/x
  3. Step 3: Cross multiply
    71,707.29x = 98,939.75 × 41,491.86
  4. Step 4: Simplify right side
    71,707.29x = 4,105,194,047.98
  5. Step 5: Solve for x
    x = 4,105,194,047.98/71,707.29
  6. Step 6: Final answer
    x = 57,249.33

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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.