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Finding the Fourth Proportional to 71,302, 98,422.68 and 41,494

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Solution

The fourth proportional to 71,302, 98,422.68 and 41,494 is: 57,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,302 : 98,422.68 = 41,494 : x
  2. Step 2: Convert to fraction form
    71,302/98,422.68 = 41,494/x
  3. Step 3: Cross multiply
    71,302x = 98,422.68 × 41,494
  4. Step 4: Simplify right side
    71,302x = 4,083,950,683.92
  5. Step 5: Solve for x
    x = 4,083,950,683.92/71,302
  6. Step 6: Final answer
    x = 57,276.80

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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.