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Finding the Fourth Proportional to 41,665.38, 57,498 and 22,802.46

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Solution

The fourth proportional to 41,665.38, 57,498 and 22,802.46 is: 31,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,665.38 : 57,498 = 22,802.46 : x
  2. Step 2: Convert to fraction form
    41,665.38/57,498 = 22,802.46/x
  3. Step 3: Cross multiply
    41,665.38x = 57,498 × 22,802.46
  4. Step 4: Simplify right side
    41,665.38x = 1,311,095,845.08
  5. Step 5: Solve for x
    x = 1,311,095,845.08/41,665.38
  6. Step 6: Final answer
    x = 31,467.27

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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.