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Finding the Fourth Proportional to 41,974.40, 57,907.00 and 27,802.64

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Solution

The fourth proportional to 41,974.40, 57,907.00 and 27,802.64 is: 38,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,974.40 : 57,907.00 = 27,802.64 : x
  2. Step 2: Convert to fraction form
    41,974.40/57,907.00 = 27,802.64/x
  3. Step 3: Cross multiply
    41,974.40x = 57,907.00 × 27,802.64
  4. Step 4: Simplify right side
    41,974.40x = 1,609,967,654.00
  5. Step 5: Solve for x
    x = 1,609,967,654.00/41,974.40
  6. Step 6: Final answer
    x = 38,355.94

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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.