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Finding the Fourth Proportional to 73,815.23, 101,870.66 and 41,982.23

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Solution

The fourth proportional to 73,815.23, 101,870.66 and 41,982.23 is: 57,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815.23 : 101,870.66 = 41,982.23 : x
  2. Step 2: Convert to fraction form
    73,815.23/101,870.66 = 41,982.23/x
  3. Step 3: Cross multiply
    73,815.23x = 101,870.66 × 41,982.23
  4. Step 4: Simplify right side
    73,815.23x = 4,276,757,478.37
  5. Step 5: Solve for x
    x = 4,276,757,478.37/73,815.23
  6. Step 6: Final answer
    x = 57,938.69

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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.