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Finding the Fourth Proportional to 70,282.82, 96,980.73 and 41,982.50

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Solution

The fourth proportional to 70,282.82, 96,980.73 and 41,982.50 is: 57,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.82 : 96,980.73 = 41,982.50 : x
  2. Step 2: Convert to fraction form
    70,282.82/96,980.73 = 41,982.50/x
  3. Step 3: Cross multiply
    70,282.82x = 96,980.73 × 41,982.50
  4. Step 4: Simplify right side
    70,282.82x = 4,071,493,497.23
  5. Step 5: Solve for x
    x = 4,071,493,497.23/70,282.82
  6. Step 6: Final answer
    x = 57,930.14

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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.