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Finding the Fourth Proportional to 70,291.82, 96,993.14 and 41,991.50

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Solution

The fourth proportional to 70,291.82, 96,993.14 and 41,991.50 is: 57,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,291.82 : 96,993.14 = 41,991.50 : x
  2. Step 2: Convert to fraction form
    70,291.82/96,993.14 = 41,991.50/x
  3. Step 3: Cross multiply
    70,291.82x = 96,993.14 × 41,991.50
  4. Step 4: Simplify right side
    70,291.82x = 4,072,887,438.31
  5. Step 5: Solve for x
    x = 4,072,887,438.31/70,291.82
  6. Step 6: Final answer
    x = 57,942.55

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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.