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Finding the Fourth Proportional to 70,262.78, 96,943.10 and 41,958.14

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Solution

The fourth proportional to 70,262.78, 96,943.10 and 41,958.14 is: 57,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,262.78 : 96,943.10 = 41,958.14 : x
  2. Step 2: Convert to fraction form
    70,262.78/96,943.10 = 41,958.14/x
  3. Step 3: Cross multiply
    70,262.78x = 96,943.10 × 41,958.14
  4. Step 4: Simplify right side
    70,262.78x = 4,067,552,161.83
  5. Step 5: Solve for x
    x = 4,067,552,161.83/70,262.78
  6. Step 6: Final answer
    x = 57,890.57

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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.