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Finding the Fourth Proportional to 70,083.49, 96,727.76 and 41,791

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Solution

The fourth proportional to 70,083.49, 96,727.76 and 41,791 is: 57,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083.49 : 96,727.76 = 41,791 : x
  2. Step 2: Convert to fraction form
    70,083.49/96,727.76 = 41,791/x
  3. Step 3: Cross multiply
    70,083.49x = 96,727.76 × 41,791
  4. Step 4: Simplify right side
    70,083.49x = 4,042,349,609.21
  5. Step 5: Solve for x
    x = 4,042,349,609.21/70,083.49
  6. Step 6: Final answer
    x = 57,679.06

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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.