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Finding the Fourth Proportional to 71,660, 98,890.94 and 39,836.45

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Solution

The fourth proportional to 71,660, 98,890.94 and 39,836.45 is: 54,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,660 : 98,890.94 = 39,836.45 : x
  2. Step 2: Convert to fraction form
    71,660/98,890.94 = 39,836.45/x
  3. Step 3: Cross multiply
    71,660x = 98,890.94 × 39,836.45
  4. Step 4: Simplify right side
    71,660x = 3,939,463,986.76
  5. Step 5: Solve for x
    x = 3,939,463,986.76/71,660
  6. Step 6: Final answer
    x = 54,974.38

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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.