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Finding the Fourth Proportional to 27,920.80, 41,564.57 and 27,772.96

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Solution

The fourth proportional to 27,920.80, 41,564.57 and 27,772.96 is: 41,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.80 : 41,564.57 = 27,772.96 : x
  2. Step 2: Convert to fraction form
    27,920.80/41,564.57 = 27,772.96/x
  3. Step 3: Cross multiply
    27,920.80x = 41,564.57 × 27,772.96
  4. Step 4: Simplify right side
    27,920.80x = 1,154,371,140.03
  5. Step 5: Solve for x
    x = 1,154,371,140.03/27,920.80
  6. Step 6: Final answer
    x = 41,344.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.