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Finding the Fourth Proportional to 38,711.34, 53,418.96 and 22,792.41

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Solution

The fourth proportional to 38,711.34, 53,418.96 and 22,792.41 is: 31,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,711.34 : 53,418.96 = 22,792.41 : x
  2. Step 2: Convert to fraction form
    38,711.34/53,418.96 = 22,792.41/x
  3. Step 3: Cross multiply
    38,711.34x = 53,418.96 × 22,792.41
  4. Step 4: Simplify right side
    38,711.34x = 1,217,546,838.09
  5. Step 5: Solve for x
    x = 1,217,546,838.09/38,711.34
  6. Step 6: Final answer
    x = 31,451.94

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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.