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Finding the Fourth Proportional to 71,214.67, 98,300.97 and 41,012.02

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Solution

The fourth proportional to 71,214.67, 98,300.97 and 41,012.02 is: 56,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214.67 : 98,300.97 = 41,012.02 : x
  2. Step 2: Convert to fraction form
    71,214.67/98,300.97 = 41,012.02/x
  3. Step 3: Cross multiply
    71,214.67x = 98,300.97 × 41,012.02
  4. Step 4: Simplify right side
    71,214.67x = 4,031,521,470.54
  5. Step 5: Solve for x
    x = 4,031,521,470.54/71,214.67
  6. Step 6: Final answer
    x = 56,610.83

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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.