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Finding the Fourth Proportional to 71,294.76, 98,393.22 and 41,481

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Solution

The fourth proportional to 71,294.76, 98,393.22 and 41,481 is: 57,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.76 : 98,393.22 = 41,481 : x
  2. Step 2: Convert to fraction form
    71,294.76/98,393.22 = 41,481/x
  3. Step 3: Cross multiply
    71,294.76x = 98,393.22 × 41,481
  4. Step 4: Simplify right side
    71,294.76x = 4,081,449,158.82
  5. Step 5: Solve for x
    x = 4,081,449,158.82/71,294.76
  6. Step 6: Final answer
    x = 57,247.53

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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.