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Finding the Fourth Proportional to 71,695.11, 98,949.16 and 41,498.11

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Solution

The fourth proportional to 71,695.11, 98,949.16 and 41,498.11 is: 57,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.11 : 98,949.16 = 41,498.11 : x
  2. Step 2: Convert to fraction form
    71,695.11/98,949.16 = 41,498.11/x
  3. Step 3: Cross multiply
    71,695.11x = 98,949.16 × 41,498.11
  4. Step 4: Simplify right side
    71,695.11x = 4,106,203,126.09
  5. Step 5: Solve for x
    x = 4,106,203,126.09/71,695.11
  6. Step 6: Final answer
    x = 57,273.13

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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.